How many committees of 5 people can be selected from 5 men and 8 women if the committee must have 3 men and 2 women?

Final answer: There are 525 different ways to create a committee.

How many different committees consisting of 3 males and 2 females maybe formed from 6 males and 6 females?

There are 1,176 different possible committees.

How many committees of 5 people can be chosen from 20 men and 12 women if exactly 3 men must be on each committee?

We3 can select 5 people from 20 men and 12 women having atleast 3 women: 12C3 * 20C2 + 12C4 * 20C1 + 12C5 * 20C0 = 220 * 190 + 495 * 20 + 792 = 52492 So, option (B) is correct.

How many committees of 3 men and 2 women can be formed from 7 men and 5 women?

Out of 7 men, 3 men can be chosen in 7C3 ways and out of 5 women, 2 women can be chosen in 5C2 ways. Hence, the committee can be chosen in 7C3×5C2=350 ways.

Which of the following property is a group G must hold in order to be an Abelian group?

commutative property
The commutative property must hold, in order to be an Abelian group.

How many ways can a team of 5 persons can be formed out of a total of 10 persons such that two particular persons should not be included in any team?

A set of 5 players be formed out of the total of 10 players such that two particular players should be involved in each set. Solution: This is a question of selection,so using combination one can easily calculate total number of ways of selection according to given criterion. Total 56 ways are there .

How many ways can a 5 persons committee can be formed from a group of 7 men and 5 women if at least 3 men are part of the committee?

5! = 20 ways. 3! Required number of ways = (2520 x 20) = 50400.

How many ways a committee of 3 women and 2 men be made out of 5 men and 6 women?

(∵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 committees have at least one woman on the Committee?

To get the number of committees with at least one woman, we should subtract the number of committees with no women from the total number of possible committees. There are 6C5 = 6 ways to pick the 5 member committee from men only. Thus, the number of committees where at least 1 woman is a member = 252 – 6 = 246. Answer D.

How many ways can you pick a 5 member committee?

There are 10C5 = 252 ways to pick a 5 member committee out of 10 people (this includes committees with at least one woman and committees with no women at all). To get the number of committees with at least one woman, we should subtract the number of committees with no women from the total number of possible committees.

What iscommittee forming in combinatorics?

Committee forming is one technique for solving certain combinatorics problems. First, we’ll introduce committee forming with a simple example. How many committees of 3 people can be formed from a group of 12 people?