1.
If (nr)\binom{n}{r} denotes the combination of nn things taken rr at a time, then the value of (9997)+(9896)+(9795)++(31)+(20)\binom{99}{97} + \binom{98}{96} + \binom{97}{95} + \cdots + \binom{3}{1} + \binom{2}{0} equals: