In how many ways can a committee of 5 people be chosen out of 10 people?

Question: In how many ways can a committee of 5 people be chosen out of 10 people? Solution: Total number of people, n = 10Number of committee members, r = 5 The numbers of ways of chosen committee = nCr =10C5 = 10!/5!(10 - 5)!= (10 × 9 × 8 × 7 × 6 × 5!)/(5 × 4 × 3 × 2 × 1)5!= 252