Question

5a. A salad bar has five kinds of salad. In how many different ways can you choose two different salads from five?

5b. Which has more different ways :
Choosing two out of five OR
choosing three our of five?

Answer 1

a) 10 salads

b) 5 Choose 2 and 5 Choose 3 result in the same amount

Explanation:

a) ₅C₂ = 5! / (5-2)! 2!

= 5! / 3! 2!

= (5 × 4) / 2

= 10 salads

b) ₅C₃ = 5! / (5-3)! 3!

= 5! / 2! 3!

= (5 × 4) / 2

= 10