Question

A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?

A 10 teams
B 15 teams
C 20 teams
D 25 teams

Answer 1

20 teams can be made

Answer 2

A. 10 teams

Explanation:

a 2-person team is a combination of two elements out of 5.

Then

The number of possible teams is :

`C^(2)_5 = (5!)/(2! * (5-2)!) = (5!)/(2! * 3!)=10`