Question

Encontre o valor de (P_7:P_2).​

Answer 1

Explicação passo-a-passo:

$\sf \dfrac{P_7}{P_2}=\dfrac{7!}{2!}$

$\sf \dfrac{P_7}{P_2}=\dfrac{7\cdot6\cdot5\cdot4\cdot3\cdot2!}{2!}$

$\sf \dfrac{P_7}{P_2}=7\cdot6\cdot5\cdot4\cdot3$

$\sf \dfrac{P_7}{P_2}=42\cdot20\cdot3$

$\sf \dfrac{P_7}{P_2}=840\cdot3$

$\sf \dfrac{P_7}{P_2}=2520$