TR-MO-R1 2017 Problem 13

$$\sum_{k+l=0}^{97} \binom{100}{k} \binom{100-k}{l} \binom{100-k-l}{97-k-l} = ?$$

A) $3^{100} \cdot 53900$ B) $3^{97} \cdot 107800$ C) $3^{105} \cdot 10780$ D) $3^{100} \cdot 107800$ E) $3^{98} \cdot 53900$