In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?

Question

Mathematics

Paris Pollard

2 September, 13:14

In how many ways committee of 8 people can be chosen out of 10 men and 6 women if there needs to be at least 5 women?

+2

Answers (1)

Know the Answer?

Mateo Hanna · Answer 1

765

Step-by-step explanation:

Given in the question,

number of people to be choose with at least 5 women in it = 8

There are 2 ways to choose 8 members

1)

5 women

(6C5) (10C3)

6x120

720

2)

6 women

(6C6) (10C2)

1x45

45

Our final answer is 720 + 45 = 765 ways

Formula to calculate

nCr = n! / r! (n-r) !