How many ways are there to select a committee of 5 members if at least 1 woman must be on the committee?

Your solution would yield “choose one woman (4 options) and then there are (33)=1 way to choose the remaining three, so four ways altogether (where the answer is obviously 1: take all four women). Now the total number of ways of forming a committee of 5 members with at least 1 women is 60+120+60+6=246 ways.

How many ways can a committee be formed of 5 members from 6 men and 4 women?

A committee of 5 out of 6 + 4= 10 can be made in 10C5 = 252 ways.

How many committees of 5 people are formed?

(∵ncr=n! r! (n−r)!) Hence in a committee of 5 members selected from 6 men and 5 women consisting 3 men and 2 women is 200 ways.

How many ways can a committee of 5 persons be formed out of 6 men and 4 women when at least one woman has to be necessarily selected?

Therefore, the total number of ways the committee can be formed is = (120 + 60) = 180 ways.

How many committees of 5 men and 4 women can be formed out of 8 men and 6 women?

∴ The committee can be formed in 11760 ways.

How many ways can a team of 5 persons be selected?

∴ There are 21 possible ways to select 5 members.

How many ways can a committee of 5 persons be formed?

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included? When at least 2 women are included. or, 2 women, 3 men : It can be done in 4 C 2 * 6 C 3 ways.

How to select 5 committee members with at least 2 women?

Given Men = 6; Women = 4; Total = 10; To select 5 person with at least 2 women. Let us concentrate on selection of less than 2 women in the committee which can be done in the following ways: The committee of 5 out of 10 can be selected in 10C5 ways = 10*9*8*7*6/1*2*3*4*5 =252 ways

Can a committee of 5 be formed out of 6 Gents?

The two groups of items to select from are not identical so you can’t combine them together to select from the combined list. Originally Answered: A committee of 5 is to be formed out of 6 gents and 4 ladies. In how many ways can this be done when at most, two ladies are included?

How many people do I need to pick groups?

You’ll want to identify how many ways you can pick groups, which will be a product of choosing a number gents and a number of ladies, in this form: From a group of 6 men & 5 women, 4 people are to be selected to form a committee so that at least 2 men are in the committee.

https://www.youtube.com/watch?v=yrq7vLFBBkI