Answer
$4950$
Work Step by Step
Formula to calculate the Binomial Coefficient is:
$\displaystyle \binom{n}{k}=\dfrac{n!}{k!(n-k)!}$
Let's see how this formula works:
$\displaystyle \binom{100}{2}=\dfrac{100!}{2!(100-2)!}=\dfrac{ 100 \cdot 99 \cdot 98!}{2 \cdot 1 \cdot 98!}=4950$
