Question

efetue:
a) 8!/6!
b) 3!/4! + 4!/5!
c) 7!/5! . 2!
D) 8! . 6!/7! . 7!
e) 11! + 9! / 10!
f) 40! - 39!/41!
g) (85!)²/86!83!

com os cálculos pfv

Answer 1

Olá.

O principio do Fatorial é o numero multiplicado por seus antecessores até 1. Ex:  3! = 3.2.1= 6

a) $\frac{8!}{6!}$ = $\frac{8! . 7! . 6!}{6!}$ = 8 . 7 = 56

b) $\frac{3!}{4!} + \frac{4!}{5!} =$ $\frac{3!}{4 . 3!} = \frac{1}{4}$

c) $\frac{7!}{5!} . 2!$ = $\frac{7 .6 .5!}{5!} . 2!$ = $7 . 5 . 2 = 70$

e) $11! + \frac{9!}{10!}$ = $11.10.9! + \frac{9!}{10.9!}$ = $11.10.9! + \frac{1}{10}$

g) (85!)²/86!.83! = $\frac{85!.85!}{86!.83!}$ =$\frac{85.84.83! . 85.84.83!}{86.85.84.83!.83!} = \frac{85.84.85.84}{86.85.84} = \frac{85.84}{86}$