Question

Calcule a=(5/4)+(4/2)+(2/0).

Answer 1

Explicação passo-a-passo:

$\sf a=\dbinom{5}{4}+\dbinom{4}{2}+\dbinom{2}{0}$

$\sf a=\dfrac{5!}{4!\cdot1!}+\dfrac{4!}{2!\cdot2!}+\dfrac{2!}{0!\cdot2!}$

$\sf a=\dfrac{5\cdot4!}{4!\cdot1!}+\dfrac{4\cdot3\cdot2!}{2!\cdot2!}+\dfrac{2}{1\cdot2}$

$\sf a=\dfrac{5}{1!}+\dfrac{4\cdot3}{2!}+\dfrac{2}{2}$

$\sf a=\dfrac{5}{1}+\dfrac{12}{2}+1$

$\sf a=5+6+1$

$\sf \red{a=12}$