Question

From a club 25 people in how many ways can a group of five members be selected to attend conference? A group of 5 members can be selected to a conference in how many ways

Answer 1

²⁵C₅ = 53130

Explanation:

number of people in the club = 25

number of people to be selected in the group to attend conference = 5

number of ways of selecting this group from 25 people is same as selecting 5 objects from 25 distinct objects = ²⁵C₅ (Selection)

=
`(25!)/(5!(25-5)!)`

=
`(25!)/(5!(20)!)`

= 21×22×23×5

= 53130

∴ Number of ways of selecting this group from 25 people = 53130