Question

Análise Combinatória ;
A) (6!+3!-2!)/5!
B) (7!.9!)/(6!.8!)
C) 12!/(8!.5!)

Answer 1

6! = 6 * 5 * 4 * 3 * 2 * 1 = 720 
3! = 3 * 2 * 1 = 6
2! = 2 * 1 = 2
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
9! = 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362.880
8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40.320
12! = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 479.001.600

Então vamos la

a) (6! + 3! - 2!) / 5!
(720 + 6 - 2) / 120
724 / 120
181 / 30

b) (7! * 9!) / (6! * 8!)
(5040 * 362.880) / (720 * 40.320)
(1.828.915.200) / (29.030.400)
63

c) 12! / (8! * 5!)
479.001.600 / (40.320 * 120)
479.001.600 / 4.838.400
99

BONS ESTUDOS!