Question

Responda a equação: Cn, 4 = Cn, 3​

Answer 1

Resposta:

Explicação passo-a-passo:

Cn,4 = Cn,3 =>

n!/(n-4)!4! = n!/(n-3)!3!

n(n-1)(n-2)(n-3)(n-4)!/(n-4)!4! = n(n-1)(n-2)(n-3)!/(n-3)!3! =

n(n-1)(n-2)(n-3)/4! = n(n-1)(n-2)/3!

n(n-1)(n-2)(n-3) = 4!n(n-1)(n-2)/3!

n(n-1)(n-2)(n-3)  = 4.3!n(n-1)(n-2)/3!

n(n-1)(n-2)(n-3) = 4n(n-1)(n-2)

(n - 3) = 4n(n-1)(n-2)/n(n-1)(n-2)

n - 3 = 4

n = 4 + 3

n = 7