Question

Evaluate.(4!5!)/(2!7!)Simplify your answer as much as possible.

Answer 1

We have to solve this quotient with factorials:

`\begin{gathered} (4!5!)/(2!7!) \\ ((4!)/(2!))((5!)/(7!)) \\ (4*3)((1)/(7*6)) \\ (4*3)/(7*6) \\ (4)/(7*2) \\ (2)/(7) \end{gathered}`

Answer: the simplified expression is 2/7.