Answer
$\displaystyle \left(\begin{array}{l} 5\\ 2 \end{array}\right)\left(\begin{array}{l} 5\\ 3 \end{array}\right)=100$
Work Step by Step
We evaluate:
$\displaystyle \left(\begin{array}{l} 5\\ 2 \end{array}\right)\left(\begin{array}{l} 5\\ 3 \end{array}\right)=\frac{5!}{2!3!}*\frac{5!}{3!2!}=\frac{5\cdot 4\cdot 3!}{2\cdot 1\cdot 3!}*\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=\frac{5*4*5*4}{2*2}=5*2*5*2=10*10=100$
