Question

Multiplicação de fatoriais
ex: 2!.5!=2.1.(5.4.3.2.1)=2.120=240

a) 5! . 3!=
b)4! . 2!=
c)6! . 4! =
d)6! . 5!=
e)2! . 2!=
f)3! . 3!=
g)5! . 7!=

Answer 1

a)

5! . 3!

120 . 6

720

b)

4! . 2!

24 . 2

48

c)

6! . 4!

720 . 24

17280

d)

6! . 5!

720 . 120

86400

e)

2! . 2!

2 . 2

4

f)

3! . 3!

6 . 6

36

g)

5! . 7!

120 . 5040

604800

Answer 2

Explicação passo-a-passo:

a)

5! . 3!

= (5 x 4 x 3 x 2 x 1) x (3 x 2 x 1)

= (20 x 6) x 6

= 120 x 6

= 720

b)

4! . 2!

= (4 x 3 x 2 x 1) x (2 x 1)

= (12 x 2) x 2

= 24 x 2

= 48

c)

6! . 4!

= (6 x 5 x 4 x 3 x 2 x 1) x (4 x 3 x 2 x 1)

= (30 x 12 x 2) x (12 x 2)

= (360 x 2) x 24

= 720 x 24

= 17280

d)

6! .5!

= (6 x 5 x 4 x 3 x 2 x 1) x (5 x 4 x 3 x 2 x 1)

= (30 x 12 x 2) x (20 x 6)

= (360 x 2) x 120

= 720 x 120

= 86400

e)

2! . 2!

= (2 x 1) x (2 x 1)

= 2 x 2

= 4

f)

3! . 3!

= (3 x 2 x 1) x (3 x 2 x 1)

= 6 x 6

= 36

g)

5! . 7!

= (5 x 4 x 3 x 2 x 1) x (7 x 6 x 5 x 4 x 3 x 2 x 1)

= (20 x 6) x (42 x 20 x 6)

= 120 x (840 x 6)

= 120 x 5040

= 604800