Question

There are eight female board members and twenty-two male board members. How many ways are there to make a committee of twelve board members?

Answer 1

There are 86493225 ways to make a committee of twelve board members.

Step-by-step explanation:

To solve this problem, we can use the concept of combinations. We need to choose 12 board members out of a total of 30 (8 females and 22 males).

The formula for combinations is nCr = n! / (r! * (n-r)!), where n is the total number of items and r is the number of items to be selected.

Using this formula, we can calculate the number of ways to choose 12 board members as:

C(30, 12) = 30! / (12! * (30-12)!) = 86493225

Therefore, there are 86493225 ways to make a committee of twelve board members.