Views
9 months ago

# CLASS_11_MATHS_SOLUTIONS_NCERT

## Class XI Chapter 7 –

Class XI Chapter 7 – Permutation and Combination Maths ______________________________________________________________________________ 3 boys can be selected from 5 boys in 3 girls can be selected from 4 girls in 5 C 3 4 C 3 ways. ways. Therefore, by multiplication principle, number of ways in which a team of 3 boys and 3 girls 5 4 5! 4! can be selected C3 C3 3!2! 3!1! 5 43! 43! 3! 2 3! 10 4 40 Question 5: Find the number of ways of selecting 9 balls from 6 red balls, 5 white balls and 5 blue balls if each selection consists of 3 balls each colour. Solution 5: There are a total of 6 red balls, 5 white balls, and 4 blue balls. 9 balls have to be selected in such a way that each selection consists of 3 balls of each colour. Here, 3 balls can be selected from 6 red balls in 6 C 3 ways. 3 balls can be selected from 5 white balls in 5 C 3 ways. 3 balls can be selected from 5 blue balls in 5 C 3 ways. Thus, by multiplication principle, required number of ways of selecting 9 balls. 6 5 5 6! 5! 5! C3 C3 C3 3!3! 3!2! 3!2! 65 43! 5 43! 5 43! 3! 3 2 3! 21 3! 21 201010 2000 Question 6: Determine the number of 5 card combinations out of a deck of 52 cards if there is exactly one ace in each combination. Solution 6: In a deck of 52 cards, there are 4 aces. A combinations of 5 cards have to be made in which there is exactly one ace. Then, one ace can be selected in 4 C 3 ways and the remaining 4 cards can be selected out of the Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 7 – Permutation and Combination Maths ______________________________________________________________________________ 48 cards in 48 C 4 ways. Thus, by multiplication principle, required number of 5 card combinations 48 4 48! 4! C4 C1 4!44! 1!3! 48 47 46 45 4! 4! 3 21 778320 Question 7: In how many ways can one select a cricket team of eleven from 17 players in which only 5 players can bowl if each cricket team of 11 must include exactly 4 bowlers? Solution 7: Out of 17 players, 5 players are bowlers. A cricket team of 11 players is to be selected in such a way that there are exactly 4 bowlers. 4 bowlers can be selected in 5 C 4 ways and the remaining 7 players can be selected out of the 12 players in 12 C 7 ways. Thus, by multiplication principle, required number of ways of selecting cricket team 5 12 5! 12! 12111098 C4 C7 5! 3960 4!1! 7!5! 5! 43 21 Question 8: A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected. Solution 8: There are 5 black and 6 red balls in the bag. 2 black balls can be selected out of 5 black balls in 5 C 2 ways and 3 red balls can be selected out of 6 red balls in 6 C 3 ways. Thus, by multiplication principle, required number of ways of selecting 2 black and 3 red balls 5 6 5! 6! 5 4 65 4 C2 C3 10 20 200 . 2!3! 3!3! 2 321 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

• Page 1 and 2:

Class XI Chapter 1 - Sets Maths ___

• Page 3 and 4:

Class XI Chapter 1 - Sets Maths ___

• Page 5 and 6:

Class XI Chapter 1 - Sets Maths ___

• Page 7 and 8:

Class XI Chapter 1 - Sets Maths ___

• Page 9 and 10:

Class XI Chapter 1 - Sets Maths ___

• Page 11 and 12:

Class XI Chapter 1 - Sets Maths ___

• Page 13 and 14:

Class XI Chapter 1 - Sets Maths ___

• Page 15 and 16:

Class XI Chapter 1 - Sets Maths ___

• Page 17 and 18:

Class XI Chapter 1 - Sets Maths ___

• Page 19 and 20:

Class XI Chapter 1 - Sets Maths ___

• Page 21 and 22:

Class XI Chapter 1 - Sets Maths ___

• Page 23 and 24:

Class XI Chapter 1 - Sets Maths ___

• Page 25 and 26:

Class XI Chapter 1 - Sets Maths ___

• Page 27 and 28:

Class XI Chapter 1 - Sets Maths ___

• Page 29 and 30:

Class XI Chapter 1 - Sets Maths ___

• Page 31 and 32:

Class XI Chapter 1 - Sets Maths ___

• Page 33 and 34:

Class XI Chapter 1 - Sets Maths ___

• Page 35 and 36:

Class XI Chapter 1 - Sets Maths ___

• Page 37 and 38:

Class XI Chapter 1 - Sets Maths ___

• Page 39 and 40:

Class XI Chapter 1 - Sets Maths ___

• Page 41 and 42:

Class XI Chapter 1 - Sets Maths ___

• Page 43 and 44:

Class XI Chapter 2 - Relations and

• Page 45 and 46:

Class XI Chapter 2 - Relations and

• Page 47 and 48:

Class XI Chapter 2 - Relations and

• Page 49 and 50:

Class XI Chapter 2 - Relations and

• Page 51 and 52:

Class XI Chapter 2 - Relations and

• Page 53 and 54:

Class XI Chapter 2 - Relations and

• Page 55 and 56:

Class XI Chapter 2 - Relations and

• Page 57 and 58:

Class XI Chapter 2 - Relations and

• Page 59 and 60:

Class XI Chapter 2 - Relations and

• Page 61 and 62:

Class XI Chapter 3 - Trigonometric

• Page 63 and 64:

Class XI Chapter 3 - Trigonometric

• Page 65 and 66:

Class XI Chapter 3 - Trigonometric

• Page 67 and 68:

Class XI Chapter 3 - Trigonometric

• Page 69 and 70:

Class XI Chapter 3 - Trigonometric

• Page 71 and 72:

Class XI Chapter 3 - Trigonometric

• Page 73 and 74:

Class XI Chapter 3 - Trigonometric

• Page 75 and 76:

Class XI Chapter 3 - Trigonometric

• Page 77 and 78:

Class XI Chapter 3 - Trigonometric

• Page 79 and 80:

Class XI Chapter 3 - Trigonometric

• Page 81 and 82:

Class XI Chapter 3 - Trigonometric

• Page 83 and 84:

Class XI Chapter 3 - Trigonometric

• Page 85 and 86:

Class XI Chapter 3 - Trigonometric

• Page 87 and 88:

Class XI Chapter 3 - Trigonometric

• Page 89 and 90:

Class XI Chapter 3 - Trigonometric

• Page 91 and 92:

Class XI Chapter 3 - Trigonometric

• Page 93 and 94:

Class XI Chapter 3 - Trigonometric

• Page 95 and 96:

Class XI Chapter 3 - Trigonometric

• Page 97 and 98:

Class XI Chapter 3 - Trigonometric

• Page 99 and 100:

Class XI Chapter 4 - Principle of M

• Page 101 and 102:

Class XI Chapter 4 - Principle of M

• Page 103 and 104:

Class XI Chapter 4 - Principle of M

• Page 105 and 106:

Class XI Chapter 4 - Principle of M

• Page 107 and 108:

Class XI Chapter 4 - Principle of M

• Page 109 and 110:

Class XI Chapter 4 - Principle of M

• Page 111 and 112:

Class XI Chapter 4 - Principle of M

• Page 113 and 114:

Class XI Chapter 4 - Principle of M

• Page 115 and 116:

Class XI Chapter 4 - Principle of M

• Page 117 and 118:

Class XI Chapter 4 - Principle of M

• Page 119 and 120:

Class XI Chapter 4 - Principle of M

• Page 121 and 122:

Class XI Chapter 4 - Principle of M

• Page 123 and 124:

Class XI Chapter 4 - Principle of M

• Page 125 and 126:

Class XI Chapter 5 - Complex Number

• Page 127 and 128:

Class XI Chapter 5 - Complex Number

• Page 129 and 130:

Class XI Chapter 5 - Complex Number

• Page 131 and 132:

Class XI Chapter 5 - Complex Number

• Page 133 and 134:

Class XI Chapter 5 - Complex Number

• Page 135 and 136:

Class XI Chapter 5 - Complex Number

• Page 137 and 138:

Class XI Chapter 5 - Complex Number

• Page 139 and 140:

Class XI Chapter 5 - Complex Number

• Page 141 and 142:

Class XI Chapter 5 - Complex Number

• Page 143 and 144:

Class XI Chapter 5 - Complex Number

• Page 145 and 146:

Class XI Chapter 5 - Complex Number

• Page 147 and 148:

Class XI Chapter 5 - Complex Number

• Page 149 and 150:

Class XI Chapter 5 - Complex Number

• Page 151 and 152:

Class XI Chapter 5 - Complex Number

• Page 153 and 154:

Class XI Chapter 5 - Complex Number

• Page 155 and 156:

Class XI Chapter 6 - Linear Inequal

• Page 157 and 158:

Class XI Chapter 6 - Linear Inequal

• Page 159 and 160: Class XI Chapter 6 - Linear Inequal
• Page 161 and 162: Class XI Chapter 6 - Linear Inequal
• Page 163 and 164: Class XI Chapter 6 - Linear Inequal
• Page 165 and 166: Class XI Chapter 6 - Linear Inequal
• Page 167 and 168: Class XI Chapter 6 - Linear Inequal
• Page 169 and 170: Class XI Chapter 6 - Linear Inequal
• Page 171 and 172: Class XI Chapter 6 - Linear Inequal
• Page 173 and 174: Class XI Chapter 6 - Linear Inequal
• Page 175 and 176: Class XI Chapter 6 - Linear Inequal
• Page 177 and 178: Class XI Chapter 6 - Linear Inequal
• Page 179 and 180: Class XI Chapter 6 - Linear Inequal
• Page 181 and 182: Class XI Chapter 6 - Linear Inequal
• Page 183 and 184: Class XI Chapter 6 - Linear Inequal
• Page 185 and 186: Class XI Chapter 6 - Linear Inequal
• Page 187 and 188: Class XI Chapter 6 - Linear Inequal
• Page 189 and 190: Class XI Chapter 6 - Linear Inequal
• Page 191 and 192: Class XI Chapter 6 - Linear Inequal
• Page 193 and 194: Class XI Chapter 6 - Linear Inequal
• Page 195 and 196: Class XI Chapter 6 - Linear Inequal
• Page 197 and 198: Class XI Chapter 7 - Permutation an
• Page 199 and 200: Class XI Chapter 7 - Permutation an
• Page 201 and 202: Class XI Chapter 7 - Permutation an
• Page 203 and 204: Class XI Chapter 7 - Permutation an
• Page 205 and 206: Class XI Chapter 7 - Permutation an
• Page 207 and 208: Class XI Chapter 7 - Permutation an
• Page 209: Class XI Chapter 7 - Permutation an
• Page 213 and 214: Class XI Chapter 7 - Permutation an
• Page 215 and 216: Class XI Chapter 7 - Permutation an
• Page 217 and 218: Class XI Chapter 7 - Permutation an
• Page 219 and 220: Class XI Chapter 8 - Binomial Theor
• Page 221 and 222: Class XI Chapter 8 - Binomial Theor
• Page 223 and 224: Class XI Chapter 8 - Binomial Theor
• Page 225 and 226: Class XI Chapter 8 - Binomial Theor
• Page 227 and 228: Class XI Chapter 8 - Binomial Theor
• Page 229 and 230: Class XI Chapter 8 - Binomial Theor
• Page 231 and 232: Class XI Chapter 8 - Binomial Theor
• Page 233 and 234: Class XI Chapter 8 - Binomial Theor
• Page 235 and 236: Class XI Chapter 8 - Binomial Theor
• Page 237 and 238: Class XI Chapter 8 - Binomial Theor
• Page 239 and 240: Class XI Chapter 8 - Binomial Theor
• Page 241 and 242: Class XI Chapter 9 - Sequences and
• Page 243 and 244: Class XI Chapter 9 - Sequences and
• Page 245 and 246: Class XI Chapter 9 - Sequences and
• Page 247 and 248: Class XI Chapter 9 - Sequences and
• Page 249 and 250: Class XI Chapter 9 - Sequences and
• Page 251 and 252: Class XI Chapter 9 - Sequences and
• Page 253 and 254: Class XI Chapter 9 - Sequences and
• Page 255 and 256: Class XI Chapter 9 - Sequences and
• Page 257 and 258: Class XI Chapter 9 - Sequences and
• Page 259 and 260: Class XI Chapter 9 - Sequences and
• Page 261 and 262:

Class XI Chapter 9 - Sequences and

• Page 263 and 264:

Class XI Chapter 9 - Sequences and

• Page 265 and 266:

Class XI Chapter 9 - Sequences and

• Page 267 and 268:

Class XI Chapter 9 - Sequences and

• Page 269 and 270:

Class XI Chapter 9 - Sequences and

• Page 271 and 272:

Class XI Chapter 9 - Sequences and

• Page 273 and 274:

Class XI Chapter 9 - Sequences and

• Page 275 and 276:

Class XI Chapter 9 - Sequences and

• Page 277 and 278:

Class XI Chapter 9 - Sequences and

• Page 279 and 280:

Class XI Chapter 9 - Sequences and

• Page 281 and 282:

Class XI Chapter 9 - Sequences and

• Page 283 and 284:

Class XI Chapter 9 - Sequences and

• Page 285 and 286:

Class XI Chapter 9 - Sequences and

• Page 287 and 288:

Class XI Chapter 9 - Sequences and

• Page 289 and 290:

Class XI Chapter 9 - Sequences and

• Page 291 and 292:

Class XI Chapter 9 - Sequences and

• Page 293 and 294:

Class XI Chapter 9 - Sequences and

• Page 295 and 296:

Class XI Chapter 9 - Sequences and

• Page 297 and 298:

Class XI Chapter 9 - Sequences and

• Page 299 and 300:

Class XI Chapter 9 - Sequences and

• Page 301 and 302:

Class XI Chapter 9 - Sequences and

• Page 303 and 304:

Class XI Chapter 9 - Sequences and

• Page 305 and 306:

Class XI Chapter 9 - Sequences and

• Page 307 and 308:

Class XI Chapter 9 - Sequences and

• Page 309 and 310:

Class XI Chapter 9 - Sequences and

• Page 311 and 312:

Class XI Chapter 9 - Sequences and

• Page 313 and 314:

Class XI Chapter 10 - Straight Line

• Page 315 and 316:

Class XI Chapter 10 - Straight Line

• Page 317 and 318:

Class XI Chapter 10 - Straight Line

• Page 319 and 320:

Class XI Chapter 10 - Straight Line

• Page 321 and 322:

Class XI Chapter 10 - Straight Line

• Page 323 and 324:

Class XI Chapter 10 - Straight Line

• Page 325 and 326:

Class XI Chapter 10 - Straight Line

• Page 327 and 328:

Class XI Chapter 10 - Straight Line

• Page 329 and 330:

Class XI Chapter 10 - Straight Line

• Page 331 and 332:

Class XI Chapter 10 - Straight Line

• Page 333 and 334:

Class XI Chapter 10 - Straight Line

• Page 335 and 336:

Class XI Chapter 10 - Straight Line

• Page 337 and 338:

Class XI Chapter 10 - Straight Line

• Page 339 and 340:

Class XI Chapter 10 - Straight Line

• Page 341 and 342:

Class XI Chapter 10 - Straight Line

• Page 343 and 344:

Class XI Chapter 10 - Straight Line

• Page 345 and 346:

Class XI Chapter 10 - Straight Line

• Page 347 and 348:

Class XI Chapter 10 - Straight Line

• Page 349 and 350:

Class XI Chapter 10 - Straight Line

• Page 351 and 352:

Class XI Chapter 10 - Straight Line

• Page 353 and 354:

Class XI Chapter 10 - Straight Line

• Page 355 and 356:

Class XI Chapter 10 - Straight Line

• Page 357 and 358:

Class XI Chapter 10 - Straight Line

• Page 359 and 360:

Class XI Chapter 10 - Straight Line

• Page 361 and 362:

Class XI Chapter 10 - Straight Line

• Page 363 and 364:

Class XI Chapter 10 - Straight Line

• Page 365 and 366:

Class XI Chapter 10 - Straight Line

• Page 367 and 368:

Class XI Chapter 10 - Straight Line

• Page 369 and 370:

Class XI Chapter 10 - Straight Line

• Page 371 and 372:

Class XI Chapter 10 - Straight Line

• Page 373 and 374:

Class XI Chapter 11 - Conic Section

• Page 375 and 376:

Class XI Chapter 11 - Conic Section

• Page 377 and 378:

Class XI Chapter 11 - Conic Section

• Page 379 and 380:

Class XI Chapter 11 - Conic Section

• Page 381 and 382:

Class XI Chapter 11 - Conic Section

• Page 383 and 384:

Class XI Chapter 11 - Conic Section

• Page 385 and 386:

Class XI Chapter 11 - Conic Section

• Page 387 and 388:

Class XI Chapter 11 - Conic Section

• Page 389 and 390:

Class XI Chapter 11 - Conic Section

• Page 391 and 392:

Class XI Chapter 11 - Conic Section

• Page 393 and 394:

Class XI Chapter 11 - Conic Section

• Page 395 and 396:

Class XI Chapter 11 - Conic Section

• Page 397 and 398:

Class XI Chapter 11 - Conic Section

• Page 399 and 400:

Class XI Chapter 11 - Conic Section

• Page 401 and 402:

Class XI Chapter 11 - Conic Section

• Page 403 and 404:

Class XI Chapter 11 - Conic Section

• Page 405 and 406:

Class XI Chapter 11 - Conic Section

• Page 407 and 408:

Class XI Chapter 11 - Conic Section

• Page 409 and 410:

Class XI Chapter 11 - Conic Section

• Page 411 and 412:

Class XI Chapter 11 - Conic Section

• Page 413 and 414:

Class XI Chapter 11 - Conic Section

• Page 415 and 416:

Class XI Chapter 11 - Conic Section

• Page 417 and 418:

Class XI Chapter 12 - Introduction

• Page 419 and 420:

Class XI Chapter 12 - Introduction

• Page 421 and 422:

Class XI Chapter 12 - Introduction

• Page 423 and 424:

Class XI Chapter 12 - Introduction

• Page 425 and 426:

Class XI Chapter 12 - Introduction

• Page 427 and 428:

Class XI Chapter 12 - Introduction

• Page 429 and 430:

Class XI Chapter 12 - Introduction

• Page 431 and 432:

Class XI Chapter 13 - Limits and De

• Page 433 and 434:

Class XI Chapter 13 - Limits and De

• Page 435 and 436:

Class XI Chapter 13 - Limits and De

• Page 437 and 438:

Class XI Chapter 13 - Limits and De

• Page 439 and 440:

Class XI Chapter 13 - Limits and De

• Page 441 and 442:

Class XI Chapter 13 - Limits and De

• Page 443 and 444:

Class XI Chapter 13 - Limits and De

• Page 445 and 446:

Class XI Chapter 13 - Limits and De

• Page 447 and 448:

Class XI Chapter 13 - Limits and De

• Page 449 and 450:

Class XI Chapter 13 - Limits and De

• Page 451 and 452:

Class XI Chapter 13 - Limits and De

• Page 453 and 454:

Class XI Chapter 13 - Limits and De

• Page 455 and 456:

Class XI Chapter 13 - Limits and De

• Page 457 and 458:

Class XI Chapter 13 - Limits and De

• Page 459 and 460:

Class XI Chapter 13 - Limits and De

• Page 461 and 462:

Class XI Chapter 13 - Limits and De

• Page 463 and 464:

Class XI Chapter 13 - Limits and De

• Page 465 and 466:

Class XI Chapter 13 - Limits and De

• Page 467 and 468:

Class XI Chapter 13 - Limits and De

• Page 469 and 470:

Class XI Chapter 13 - Limits and De

• Page 471 and 472:

Class XI Chapter 13 - Limits and De

• Page 473 and 474:

Class XI Chapter 13 - Limits and De

• Page 475 and 476:

Class XI Chapter 13 - Limits and De

• Page 477 and 478:

Class XI Chapter 13 - Limits and De

• Page 479 and 480:

Class XI Chapter 13 - Limits and De

• Page 481 and 482:

Class XI Chapter 13 - Limits and De

• Page 483 and 484:

Class XI Chapter 13 - Limits and De

• Page 485 and 486:

Class XI Chapter 13 - Limits and De

• Page 487 and 488:

Class XI Chapter 13 - Limits and De

• Page 489 and 490:

Class XI Chapter 13 - Limits and De

• Page 491 and 492:

Class XI Chapter 14 - Mathematical

• Page 493 and 494:

Class XI Chapter 14 - Mathematical

• Page 495 and 496:

Class XI Chapter 14 - Mathematical

• Page 497 and 498:

Class XI Chapter 14 - Mathematical

• Page 499 and 500:

Class XI Chapter 14 - Mathematical

• Page 501 and 502:

Class XI Chapter 14 - Mathematical

• Page 503 and 504:

Class XI Chapter 14 - Mathematical

• Page 505 and 506:

Class XI Chapter 14 - Mathematical

• Page 507 and 508:

Class XI Chapter 15 - Statistics Ma

• Page 509 and 510:

Class XI Chapter 15 - Statistics Ma

• Page 511 and 512:

Class XI Chapter 15 - Statistics Ma

• Page 513 and 514:

Class XI Chapter 15 - Statistics Ma

• Page 515 and 516:

Class XI Chapter 15 - Statistics Ma

• Page 517 and 518:

Class XI Chapter 15 - Statistics Ma

• Page 519 and 520:

Class XI Chapter 15 - Statistics Ma

• Page 521 and 522:

Class XI Chapter 15 - Statistics Ma

• Page 523 and 524:

Class XI Chapter 15 - Statistics Ma

• Page 525 and 526:

Class XI Chapter 15 - Statistics Ma

• Page 527 and 528:

Class XI Chapter 15 - Statistics Ma

• Page 529 and 530:

Class XI Chapter 15 - Statistics Ma

• Page 531 and 532:

Class XI Chapter 15 - Statistics Ma

• Page 533 and 534:

Class XI Chapter 15 - Statistics Ma

• Page 535:

Class XI Chapter 15 - Statistics Ma

t - EÃ¶tvÃ¶s LorÃ¡nd University
ICfJff' - Al Kossow's Bitsavers
MARYLAND Orbital Maneuvering
Teaching & Learning Plans - Project Maths
Untitled
Maths on track! - STEPS | Engineers Ireland
103 Trigonometry Problems
The Philosophical magazine; a journal of theoretical ... - Index of
THE MATHS TEACHER'S HANDBOOK - Arvind Gupta
PDF file
View report - eResearch SA
March 2011 - Career Point
Bukhovtsev-et-al-Problems-in-Elementary-Physics
basic_engineering_mathematics0
Bell J.L. A primer of infinitesimal analysis (2ed., CUP, 2008)(ISBN 0521887186)(O)(138s)_MCat_
Stability Of Solitary Waves Of A Generalized Two-Component ...
IIT-JEE 2010 - Career Point
Original - University of Toronto Libraries
The Cubic Spline - STEM2
XT â MATHS Grade 11 â Equations
SOME ELEMENTARY INEQUALITIES IN GAS DYNAMICS EQUATION
Elliptic variational problems with critical exponent
Convergence to Stochastic Integrals involving Non-linear Functions
A Nonlinear Heat Equation with Temperature-Dependent ... - UFRJ
Rudin's Principles of Mathematical Analysis: Solutions to ... - MIT