Comb in a Sum

Calculus Level 5

Let \(S= \dfrac{\dbinom{30}{0}}{71} - \dfrac{\dbinom{30}{1}}{72} + \dfrac{\dbinom{30}{2}}{73}- \dots +\dfrac{\dbinom{30}{30}}{101} \).

What is the multiplicative inverse of the number \(P\), where \(P=S\dbinom{100}{30}\)?

×

Problem Loading...

Note Loading...

Set Loading...