Question

calcule:
a) 5!
b) 6!+4!
c)(3!)-(8)
d 20!
15!
e) 100!
90!

Answer 1

Resposta:

a) 120

Explicação passo-a-passo:

a)5*4*3*2*1 = 120

b) 6! = 5!*6 = 120*6 = 720

4! = 4*3*2*1 = 24

720 + 24 = 744

c) 3*2*1 - 8 = 6 - 8 = -2

d)$\frac{20!}{15!}  =\frac{20*19*18*17*16*15!}{15!}$

Cortar 15! Com 15!

20*19*18*17*16 = 1860480

e) $\frac{100!}{90!} =\frac{100*99*98*97*96*95*94*93*92*91*90!}{90!}$

Cortar 90! Com 90! E resolver a multiplicação

Answer 2

Resposta:

a)120 , b)744 , c)-2 , d)1 860  e)62815650955529472000

Explicação passo-a-passo:

a)

$5!=5 \times 4 \times 3 \times 2 \times 1 = 120$

b)

$6!+4! \\ (6 \times 5 \times 4 \times 3 \times 2 \times 1) + ( 4 \times 3 \times 2 \times 1)) \\ 720 + 24  = 744$

c)

$(3!)-(8) \\ (3 \times 2 \times 1) - 8 \\ 6 - 8 = -2$

d)

$\dfrac{20!}{15!}  = \dfrac{20\times 19 \times 18 \times 17 \times 16 \times 15!}{15!} = 20\times 19 \times 18 \times 17 \times 16 = 1 860  480$

e)

$\dfrac{100!}{90!}  = \dfrac{100 \times 99 \times 98 \times 97 \times 96 \times 95 \times 94 \times 93 \times 92 \times 91 \times 90!}{90!} \\ \\ 100 \times 99 \times 98 \times 97 \times 96 \times 95 \times 94 \times 93 \times 92 \times 91 = 62815650955529472 \times 10^{19}$

Bons Estudos :)