Chapter 10 - Section 10.2 - Permutations and Combinations - 10.2 Assess Your Understanding - Page 696: 55

$1.156793 *10^{76}$

Choosing for the 1st committee we have $_{100}C_{22}$ ways then for the next committee $_{78}{C_{13}}$ then $_{65}{C_{10}}$ then $_{55}{C_{5}}$ then $_{50}{C_{16}}$ then $_{34}{C_{17}}$ and the rest go in the last committee. That is $1.156793 *10^{76}$ ways.