The National Honor Society at Milton HS has 30 members. They want to select a committee of 5 members to send to the state convention. How many different ways can they select a committee of 5 members from the total 30 members?

A. 150
B. 14 million
C. 142,506

Correct Answer: C

A committee does not have an order. So, we want the combinations of 30 objects (members of NHS at MHS) taken 5 at a time: ₃₀C₅ = 30!/[25! x 5!] = 142506. Thus, there are 142,506 different ways to select a committee of 5 members.