Question

1) Resolva os cálculos que envolvem FATORIAL:
a) 11! =
b) 7! – 3! =
c) 9! + 5! =

Answer 1

Explicação passo-a-passo:

a)

11! = 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

11! = 110 x 72 x 42 x 20 x 6

11! = 7920 x 840 x 6

11! = 6652800 x 6

11! = 39916800

b)

• 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

7! = 42 x 20 x 6

7! = 840 x 6

7! = 5040

• 3! = 3 x 2 x 1

3! = 6

Logo:

7! - 3! = 5040 - 6

7! - 3! = 5034

c)

• 9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

9! = 72 x 42 x 20 x 6

9! = 3024 x 120

9! = 362880

• 5! = 5 x 4 x 3 x 2 x 1

5! = 20 x 6

5! = 120

Logo:

9! + 5! = 362880 + 120

9! + 5! = 363000