GUIAS DE RM-5TO-BIM III-2010

RAZONAMIENTO MATEMATICO – GUIA Nº 17
NOMBRE Y APELLIDOS:................................................................ BIMESTRE III
TEMA: FACTORIALES
1. Hallar P:
P= 8! x 15!
9! x 14!
2. Hallar Q:
Q = x! (x + 2)!
(x – 1)! (x + 3)!
3. Hallar “x” si:
(x – 8)! = 1
4. Hallar E:
E = 83! (40! + 41!)
42! (81! + 82!)
5. Hallar Y:
Y= (50! + 51! + 52!) (71!) (34! + 35!)
(36!) (50! + 51!) (69! + 70!)
6. Hallar T:
T= n! + 2 (n-1)!
n !+(n+1)!
7. Hallar “x” en:
(x+7)! ( x + 5 )! = 20!
(x+6)! + (x + 5)!
8. Simplificar:
W = (x + 1)! + x!
(x – 1)! + (x – 2)!
9. Hallar “p” en:
(p + 3) 3 (p + 1)! = 10
(p + 1)! + (p + 2)! + (p + 3)!
10. Simplificar:
K = 20x21x22x………………x80
50x51x52x……………….x80
PROGRAMA DE COMPLEMENTACION ACADEMICA
5TO DE SECUNDARIA
8
11. Calcular “n” en:
(2n + 1)! (2n)! = 99 (2n – 2)!
(2n + 1)! – (2n)!
12. Calcular “n” en:
2 |2 + 4 |2 + 6 |3 +.. + 40 |20 = (2n +
2) |n
13. Hallar “n” en:
C n+3 = 2C n+2
3
14. Hallar “n” en:
3C 2n = 44C n
3 2
15. Hallar “x” en:
4C x
5 = 2/3
4C x
6
16. Hallar “n” en:
V n x C n = 450
2 2
17. Hallar “x” en:
C x
3 = 1
V x 2
2
18. Hallar E:
20
2C8
+ 8C
E =
20
5C
2
8
20
12
7
3C3
+ C
19. Hallar K en: K =
7
4C
20. Calcular “x” en:
C x = 36
X – 2
21. Hallar “n” en:
n
n
C + 14C
+ 36C
1
2
n
3
3
7
4
+ 24C
n
4
= 6561