Question

A debate club has 10 members and they need to choose 3 to attend the state competition. How many ways could these 3 members be selected?

Answer 1

Solution:

Given: A debate club has 10 members

n = 10

they need to choose 3 to attend the state competition.

thus x =3

We have to find the number of ways could these 3 members be selected.

Since we have to select 3 members from 10 members , we need to use combination formula:

thus any 3 members from 10 members can be selected in ₁₀C₃ ways.

Thus there are 120 different ways these 3 members could be selected.