Answer
$100$
Work Step by Step
$\binom {5}{2} \binom{5}{3}=\dfrac {5!}{2!\left( 5-2\right) !}\times \dfrac {5!}{3!\left( 5-3!\right) }=\left( \dfrac {5!}{2!\times 3!}\right) ^{2}=\left( \dfrac {3!\times 4\times 5}{2!\times 3!}\right) ^{2}=\left( \dfrac {20}{2}\right) ^{2}=100 $
