Factorial fun!
Number Theory
Level
2
Suppose that \(n!!\) is defined as follows:
\[ n!! = \begin{cases} n \times (n-2) \times \cdots \times 5 \times 3 \times 1 &\text{if } n \text{ is odd.} \\ n \times (n-2) \times \cdots \times 6 \times 4 \times 2 &\text{if } n \text{ is even.} \\ 1 &\text{if } n = 0, - 1. \\ \end{cases} \]
Then what is
\[\color{red}{\dfrac{9!}{6!!}} \div \color{green}{\dfrac{9!!}{6!}}?\]
by
Sravanth Chebrolu