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:
$\displaystyle \binom{100}{98}=\dfrac{100!}{98!(100-98)!}=\dfrac{ 100 \cdot 99 \cdot 98!}{98! \times 2 \cdot 1}=4950$