Question

Calcule C8,4 - C8,3
Urgente, 20 pontos

Answer 1

Explicação passo-a-passo:

=> $\sf C_{8,4}$

$\sf C_{8,4}=\dfrac{8\cdot7\cdot6\cdot5}{4!}$

$\sf C_{8,4}=\dfrac{1680}{24}$

$\sf C_{8,4}=70$

=> $\sf C_{8,3}$

$\sf C_{8,3}=\dfrac{8\cdot7\cdot6}{3!}$

$\sf C_{8,3}=\dfrac{336}{6}$

$\sf C_{8,3}=56$

Assim:

$\sf C_{8,4}-C_{8,3}=70-56$

$\sf \red{C_{8,4}-C_{8,3}=14}$