How Many Committees With 4 Members Can Be Formed From A Group Of 10 People?

by | Last updated on January 24, 2024

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We are to determine the number of 4 member committees that can be formed from 10 people. This is simple combination problem since order is not important here. So Number of ways = 10C4 = 210 .

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How many ways can a committee of 4 be chosen from 10 people?

So there are 5,040 way to select 4 people from 10.

How many committees can be selected from 10 people?

There are 252 ways to select a committee of five members from a group of 10 people.

How many different committees with 4 members can be formed from a group of 9 students order is not important?

There are 6 different choices for the fourth person. This gives 9×8×7×6 different committees, however this will include the same combinations of people. There are 4×3×2×1 ways in which 4 people can be chosen. 9×8×7×6×54×3×2×1= 126 different committees .

How many ways committees of persons can be chosen from a group of 10 persons?

Therefore, the number of ways of selecting a committee of 5 members from a group of 10 persons is 252 .

How many committees with 4 members can be formed from a group of 8 people?

Committees of 4 people = C(8, 4) = 8!/4!. 4! = 70 . Committees of 8 people.

How many ways can a committee of 4 be chosen from 12?

Summary: 495 ways a committee of 4 can be selected from a club with 12 members.

How many committees of 5 can be formed?

∴10C5=10! 5! ×5! = 252 .

How many committees of 5 people can be chosen from 9 people?

If all the committee members are regarded as equal, then this falls to 9!/(4!* 5!) = 126 .

How many committees of 5 members can be formed from 6 gentlemen and 4 ladies?

According to the question we have to make a committee of 5 and in each committee formed there must be at least one lady. There are 6 gentlemen and 4 ladies. Hence, the required number of committees is 246 .

How many 4 Person committees can be formed from a group of 15?

How many different committees can be formed by choosing any 4 men from an organization that has a membership of 15 men? – Quora. 15 choices for the 1st spot, 14 choices for 2nd, 13 choices for 3rd, and 12 for the last spot. 15 x 14 x 13 x 12 = 32760 .

How many ways can a committee of 4 people?

A committee of 4 people be selected from a group of 7 people in 35 ways .

How many 4 committees can you make from a group of 25?

Number of distinct 4 person committees that can be selected from among 25 people = 25!/(21!)( 4!) = 12,650 .

How many committees of 3 students can be formed from a group of 4 students?

So, there are 2300 different committees that can be formed.

How many more committees of 4 members will be formed from 6 people of the committees were formed with some order and randomly?

Thus, only 3 committees are possible.

How many 3 person committees can be formed from a group of 9?

We can form 84 committees .

How many different committees of 4 members can be formed from a group with 7 seniors and 6 juniors if there are equal number of seniors and juniors in each committee?

The answer is 30 ways .

How many ways can you select a committee of 3 students out of 10 students?

How many ways can one choose a committee of 3 out of 10 people? ) = 120 .

How many different committees of 5 people can be chosen to work on a special project from a group of 9 people?

Therefore there are a total of 41 choices .

How many ways can a committee of 6 be selected from a club of 10 members?

= 20 * 6 = 120 Ways .

How many committees of 5 members can be chosen from a group of 9 persons when each committee must include 3 particular persons?

If they don’t serve we have c(9–2,5)=c( 7,5 ) ways to form the committee. If they do serve on the committee we need to appoint 3 more people out of 7 which makes c(7,3).

How many different 3 member committees are possible there must be exactly 2 girls?

There are 1,176 different possible committees .

How many different committees of 5 members can be chosen from a club with 25 members?

Answer: 5! (5*4*3*2*1). So we will need to divide 6,375,600 by 5! Thus, we come up with the number 53,130 .

How many combinations of 4 objects are there?

I.e. there are 4 objects, so the total number of possible combinations that they can be arranged in is 4! = 4 x 3 x 2 x 1 = 24 .

How many 3 person committees can be formed from a group of 15?

If you are asking how many ways there are to form a subcommittee of 3 people from 15 people then 15 choose 3 or 455 distinct subcommittees .

How many committees of 4 people can be chosen from a group of 8 people if each person can only hold one position?

In order to calculate the possible number of distinct committees, it is necessary to divide 1,680 by 4! or 24. We find there are 70 possible committees which can be formed by selecting four people from a pool of 8.

How many ways can 3 people out of 5 people be chosen to serve on a committee?

So selection of 3 people out of 5 can be done in 5C3 ways .

How many ways can a committee of 3 be selected from a club with 12 members?

So 455 ways possible to form a committee of 3 persons. 1 man can be chosen from 12 in 12C1 , ie 12 ways.

How many ways can a committee be formed?

There are 96460 ways to form the committee.

How many 3 member teams can be formed from a group of 6 students?

So, 3 team members from 6 students can be formed in 20 ways. ∴ There are 20 ways to choose 3 students from a group of 6 students.

Amira Khan
Author
Amira Khan
Amira Khan is a philosopher and scholar of religion with a Ph.D. in philosophy and theology. Amira's expertise includes the history of philosophy and religion, ethics, and the philosophy of science. She is passionate about helping readers navigate complex philosophical and religious concepts in a clear and accessible way.