Question

Which of the following expressions would give the number of 5 person committees that could be formed from a group

of 20 people?
P(20.5)
C(5.20)
C120,5)

Answer 1

C (20,5)

Explanation:

The committees should contain 5 persons each

The number of people are 20

Apply combination concept

where

²⁰₅C = 20! /[ {20-5}!*5! ]

=20! / 15!*5!

=15504 ------The number of 5 person committees that could be formed from a group of 20 people.