Knowee
Questions
Features
Study Tools

There are 11 female board members and 19 male board members.How many ways are there to make a committee of 19 board members

Question

There are 11 female board members and 19 male board members. How many ways are there to make a committee of 19 board members?

🧐 Not the exact question you are looking for?Go ask a question

Solution

The problem can be solved using the concept of combinations in mathematics.

The total number of board members is 11 (females) + 19 (males) = 30.

We want to form a committee of 19 members out of these 30.

The number of ways to do this is given by the combination formula: C(n, r) = n! / [(n-r)! * r!], where n is the total number of items, r is the number of items to choose, and '!' denotes factorial.

So, the number of ways to form a committee of 19 members from 30 is C(30, 19) = 30! / [(30-19)! * 19!] = 30! / [11! * 19!]

This can be calculated to get the final answer.

This problem has been solved

Similar Questions

You want to choose a committee of 5 people from 13 men and 19 women. How many ways can this be done?

There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular woman is always excluded?

In how many different ways can a committee of 8 persons be formed out of 5 men and 3 women?

A committee of six is chosen from 14 people. In how many ways can this be done?

From a group of 6 men and 4 women a committee of 4 persons is to be formed ?Question 3Answera.210b.225c.255d.195

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.