Question

Me ajudem nesse dever de casa, só quero ter certeza,se vai está igual aos meu cálculos.(Fatorial)

Answer 1

a) 6! = 6 × 5 × 4 × 3 × 2 × 1

6! = 720

b) 4 - 2! = 4 - (2 × 1)

4 - 2! = 2

c) 0! + 4! = 0 + (4 × 3 × 2 × 1)

0! + 4! = 24

d) 5! - 4! = (5 × 4 × 3 × 2 × 1) - (4 × 3 × 2 × 1)

5! - 4! = 120 - 24

5! - 4! = 96

e) $\frac{10!}{3!7!}$ = $\frac{10 . 9. 8 . 7!}{3.2.1 . 7!}$

$\frac{10!}{3!7!}$ =  $\frac{10 . 9. 8}{3.2.1}$

$\frac{10!}{3!7!}$ = 10 × 3 × 4

$\frac{10!}{3!7!}$ = 120

f) $\frac{15!13!}{14!12!}$ = $\frac{15.14!13.12!}{14!12!}$

$\frac{15!13!}{14!12!}$ = 15 × 13 = 195

g) $\frac{12!3!}{15!}$ = $\frac{12!3!}{15 . 14. 13 . 12!}$

$\frac{12!3!}{15!}$  = $\frac{3.2.1}{15 . 14. 13}$

$\frac{12!3!}{15!}$ = $\frac{1}{455}$

h)  $\frac{(3!-0!)}{3!2!}$ = $\frac{(3!)}{3!2!}$

$\frac{(3!-0!)}{3!2!}$ = $\frac{(1)}{2!}$

$\frac{(3!-0!)}{3!2!}$ = $\frac{(1)}{2}$