Question

é pra entregar hoje.​

Answer 1

Resposta:

a)

4! = 4 × 3 × 2 × 1

4! = 24

b)

3 × 0!

0! = 1

3 × 1 = 3

c)

5! = 5 × 4 × 3 × 2 × 1

5! = 120

d)

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

10! = 3.628.800

e)

$\frac{6!}{5!}$ =  $\frac{6 . 5!}{5!}$  (corta os 5!)

$\frac{6!}{5!}$ =  6

f)

$\frac{4!}{2!}$ = $\frac{4 . 3 . 2!}{2!}$ (corta os 2!)

$\frac{4!}{2!}$  = 4 × 3

$\frac{4!}{2!}$  = 12

g)

$\frac{10! + 8!}{7!}$ = $\frac{10 . 9 . 8 . 7 . 6 . 5 . 4 . 3 . 2 . 1 + 8 . 7 . 6 . 5 . 4 . 3 . 2 . 1}{7 . 6 . 5 . 4 . 3 . 2 . 1}$

$\frac{10! + 8!}{7!}$ = $\frac{3.628.800 + 40.320}{5.040}$

$\frac{10! + 8!}{7!}$ = $\frac{3.669.120}{5.040}$

$\frac{10! + 8!}{7!}$ = 728

h)

$\frac{6!}{4! . 3!}$ = $\frac{6 . 5 . 4!}{4! . 3!}$

$\frac{6!}{4! . 3!}$ = $\frac{6 . 5 . 4!}{4! . 3!}$ (corta os 4!)

$\frac{6!}{4! . 3!}$ = $\frac{6 . 5}{3!}$

$\frac{6!}{4! . 3!}$ = $\frac{6 . 5}{3 . 2. 1}$

$\frac{6!}{4! . 3!}$ = $\frac{30}{6}$

$\frac{6!}{4! . 3!}$  = 5

i)

$\frac{6!}{8!}$ = $\frac{6!}{8 . 7 . 6!}$ (corta os 6!)

$\frac{6!}{8!}$ = $\frac{1}{8 . 7}$

$\frac{6!}{8!}$ = $\frac{1}{56}$