Question

Simplifique 60! / 58 !

Answer 1

Resposta:

$\frac{60!}{58!}=3540$

Explicação passo-a-passo:

$\frac{60!}{58!}\\ \mathrm{Eliminar\:os\:fatoriais}:\quad \frac{n!}{\left(n-m\right)!}=n\cdot \left(n-1\right)\cdots \left(n-m+1\right),\:n>m\\ \frac{60!}{58!}=60\cdot \:59\\ =60\cdot \:59\\ \mathrm{Simplificar}\\ =3540$