Suppose I have an organization that has 60 people, 35 are women and 25 are men. We need to select a committee of 11 people. How many ways can such a committee be formed

Respuesta :

Using the combination formula, it is found that such a committee can be formed in 342,700,125,300 ways.

The order in which the people are selected is not important, hence, the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 11 people are taken from a set of 60, hence:

[tex]C_{60,11} = \frac{60!}{11!49!} = 342700125300[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

ACCESS MORE
ACCESS MORE
ACCESS MORE
ACCESS MORE