Answer
$4950$
Work Step by Step
Binomial Coefficient can be defined as:
$\displaystyle \binom{n}{k}=\dfrac{n!}{k!(n-k)!}$
Need to apply the formula to get the Binomial Coefficients.
Here, $n=100,k=2$
Therefore,
$\displaystyle \binom{100}{2}=\dfrac{100!}{2!(100-2)!}$
$=\dfrac{ 100 \cdot 99 \cdot 98!}{(2 \cdot 1 )( 98!)}$ $\bf{(Simplify)}$
$=4950$
