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
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.
Similar Questions
You want to choose a committee of 5 people from 13 men and 19 women. How many ways can this be done?
A committee of 8 persons is to be formed from 10 men and 10 women. How many different committees are possible if the committee must contain at least two women and at least one of the two oldest men?
Out of 7 gents and 4 ladies a committee of 5 is to be formed. The number of committees suchthat each committee includes at least one lady is
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 ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?Choices:- 266 5040 11760 86400
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.