Question

39!-38!/40! Conta fatorial

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{\left(\dfrac{39! - 38!}{40!}\right) = \dfrac{38!(39 - 1)}{38!.40.39}}$

$\mathsf{\left(\dfrac{39! - 38!}{40!}\right) = \dfrac{38}{1560}}$

$\mathsf{\left(\dfrac{39! - 38!}{40!}\right) = \dfrac{38\div 2}{1560\div 2}}$

$\boxed{\boxed{\mathsf{\left(\dfrac{39! - 38!}{40!}\right) = \dfrac{19}{780}}}}$