Question

In how many ways can a group of 4 people be selected from a group of 6 people? 10 15 24

Answer 1

A group of k elements can be chosen from a group of n elements in
`(n!)/(k!(n-k)!)` ways.


`(^6 _4)=(6!)/(4!(6-4)!)=(6!)/(4! * 2!)=(4! * 5 * 6)/(4! * 2)=(5 * 6)/(2)=5 * 3=15`

A group of 4 people can be selected from a group of 6 people in 15 ways.