Answer:
²⁵C₅ = 53130
Step-by-step 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)
= [tex]\frac{25!}{5!(25-5)!}[/tex]
= [tex]\frac{25!}{5!(20)!}[/tex]
= 21×22×23×5
= 53130
∴ Number of ways of selecting this group from 25 people = 53130
