Question

Qual o valor de (7/0)+(7/1)+(7/2)+...+(7/7)? A Resposta é 128

Answer 1

Explicação passo-a-passo:

$\dbinom{7}{0}+\dbinom{7}{1}+\dots+\dbinom{7}{7}=2^7$

$\dbinom{7}{0}+\dbinom{7}{1}+\dots+\dbinom{7}{7}=128$

De modo geral:

$\dbinom{n}{0}+\dbinom{n}{1}+\dots+\dbinom{n}{n}=2^n$