Question

Find the values of the falowing 9!9!/10!7!

Answer 1

`\bf \cfrac{9!9!}{10!7!}\implies \cfrac{~~\begin{matrix} 9! \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~9\cdot 8\cdot ~~\begin{matrix} 7! \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{10\cdot ~~\begin{matrix} 9! \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~\cdot ~~\begin{matrix} 7! \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \cfrac{72}{10}\implies \cfrac{36}{5}\implies 7.2`

Answer 2

Explanation:

9! * 9! / 10! * 7!

131681894400 / 18289152000 = 7.2