Question

How many different $4$-person committees can be chosen form the $100$ members of the Senate ?

• A. $25$
• B. $400$
• C. $3,921,225$
• D. $94,109,400$

Answer 1

The correct option is C $3,921,225$

Total number of members $=100$.
Members has to be selected $=4$.
$\therefore$ different committees ${=}^{100}{C}_4=\frac{100!}{4!\times 96!}$ $=3,921,225$.