Question

7) Calcule os fatoriais abaixo:

a)10!
-------- =
8!

b) 5!
---------- =
2!+3!

c)(n+2)
----------- =
n!

d)10!
-------- =
3!7!​

Answer 1

$a) \frac{10!}{8!} = \frac{10*9*8!}{8!} = 10*9 = 90 \\ \\b) \frac{5!}{2!+3!} = \frac{120}{2 + 6} = \frac{120}{8} = 15 \\ \\c) \frac{n + 2}{n!} = \frac{2n}{n!} \\ \\d)\frac{10!}{3!7!}= \frac{10*9*8*7!}{3!7!} = \frac{720}{3!} = \frac{720}{6} = 120$