Question

fatorial: calcule f) 15!13!/14!12!
g)12!3!/15!
h)(3!-0!)!/3!2!

Answer 1

Ok!


OBS -->  Lembrando que 0! ( Zero Fatorial ) é 1


VAMOS AOS CÁLCULOS


F)

$\dfrac{15!13!}{14!12!} \\ \\ \\ \dfrac{15.\not14.13!}{\not14!12!} = \dfrac{15.13!}{12!} = \dfrac{15.13.\not12}{\not12!} = \dfrac{15.13}{1} =\boxed{195}$

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G)

$\dfrac{12!3!}{15!}= \dfrac{\not12!3!}{15.14.13.\not12} = \dfrac{3!}{15.14.13} = \dfrac{6}{2730} =\boxed{ \dfrac{1}{455} }$

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H)

$\dfrac{(3!-0!)!}{3!2!} = \dfrac{(3.2.1-1)!}{3!2!} = \dfrac{5!}{3!2!} = \dfrac{5.4.\not3}{\not3!2!} = \dfrac{20}{2!} = \dfrac{20}{2} =\boxed{10}$

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