Question

Simplifique as expressões:

a) 11!
-----
7!

b) 20!13!
---------
19!12!

c) n!
----
(n-2)!


d) (n + 3)!
---------
(n + 4)!​

Answer 1

Resposta:

Explicação passo-a-passo:

A)

11!/7! = 11.10.9.8.7!/7!= 11.10.9.8 = 7920

B)

20!13!/19!12! = 20.19!13.12!/19!12! = 20.13 = 260

C)

n!/(n-2)! = n.(n-1).(n-2)!/(n-2)! = n(n-1) = n^2 - n

D)

(n+3)!/(n+4)! = (n+3)!/(n+4)(n+3)! = 1/(n+4)

Answer 2

a) 11!

-----

7!

b) 20!13!

---------

19!12!

c) n!

----

(n-2)!

d) (n + 3)!

---------

(n + 4)!