Question

Answer the questions below.

(a) How many different committees of size 3 can be formed from 15 people? (b) There are 17 appetizers available at a restaurant. From these, John is to choose 13 for his party. How many groups of 13 appetizers are possible?

Answer 1

1. The required number of committees can be formed in 15C3 ways , i.e $\frac{15!}{3!*12!}$

= 13*14*15/6 = 455

2. This can be done in 17C13 = $\frac{17!}{13!*4!}$

= 2380 ways