Class XI Chapter 6 – Linear Inequalities Maths ______________________________________________________________________________ 20**11**25 x 900 25 562.5 x 900 Thus, the required number of litres of water that is to be added will have to be more than 562.5 but less than 900. Question 14: IQ of a person is given by the formula MA IQ 100 CA Where MA is mental age and CA is chronological age. If 80 140 old children, find the range of their mental age. Solution 14: It is given that for a group of 12 years old children, 80 IQ 140 .......i For a group of 12 years old children, CA 12 years MA IQ 100 12 Putting this value of IQ in (i), we obtain MA 80 100 140 12 12 12 80 MA 140 100 100 9.6 MA 16.8 , IQ for a group of 12 years Thus, the range of mental age of the group of 12 years old children is 9.6 MA 16.8 . 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 ______________________________________________________________________________ Exercise 7.1 Book Name: **NCERT** Solutions Question 1: How many 3-digit numbers can be formed from the digits 1, 2, 3, 4 and 5 assuming that (i) repetition of the digits is allowed? (ii) repetition of the digits is not allowed? Solution 1: (i) There will be as many ways as there are ways of filling 3 vacant places in succession by the given five digits. In this case, repetition of digits is allowed. Therefore, the units place can be filled in by any of the given five digits. Similarity, tens and hundreds digits can be filled in by any of the given five digits. Thus, by the multiplication principle, the number of ways in which three-digit numbers can be formed from the given digits is 5 5 5 125 . (ii) In this case, repetition of digits is not allowed. Here, if units place is filled in first, then it can be filled by any of the given five digits. Therefore, the number of ways of filling the units place of the three-digit number is 5. Then, the tens place can be filled with any of the remaining four digits and the hundreds place can be filled with any of the remaining three digits. Thus, by the multiplication principle, the number of ways in which three-digit numbers can be formed without repeating the given digits is 5 4 3 60 Question 2: How many 3-digit even numbers can be formed the digits 1, 2, 3, 4, 5, 6 if the digits can be repeated? Solution 2: There will be as many ways as there are ways of filling 3 vacant places in succession by the given six digits. In this case, the units place can be filled by 2 or 4 or 6 only i.e., the units place can be filled in 3 ways. The tens place can be filled by any of the 6 digits in 6 different ways and also the hundreds place can be filled by any of the 6 digits in 6 different ways, as the digits can be repeated. Therefore, by multiplication principle, the required number of three digit even numbers is 366 108 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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