Question

calcule as seguintes expressões fatoriais:
1) 7!/4!
2) 6!/(3!2!)
3) 9!/7!
4) (3!5!)(4!6!)
5) (n+1)!/n!​

Answer 1

Resposta:

$\text{Leia abaixo}$

Explicação passo-a-passo:

1.

$\dfrac{7!}{4!} = \dfrac{7.6.5.4!}{4!} = 210$

2.

$\dfrac{6!}{3!.2!} = \dfrac{6.5.4.3!}{3!.2!} = 60$

3.

$\dfrac{9!}{7!} = \dfrac{9.8.7!}{7!} = 72$

4.

$\dfrac{3!.5!}{4!.6!} = \dfrac{3!.5!}{4.3!.6.5!} = \dfrac{1}{24}$

5.

$\dfrac{(n+1)!}{n!} = \dfrac{(n + 1).n!}{n!} = n + 1$