How Many Ways Could You Select A Committee Of 3 People Out Of A Group Of 10 People?

by | Last updated on January 24, 2024

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

120

.

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How many ways can 3 people be chosen from a group of 3?


60 different ways

. If you want the actual formula for permutations, it’s: x is the number of things in your group (5 in this case), n is the number of things you’re choosing (3 in this case). As this is an example which asks us to choose r things out of n distinct things, so this is an example of COMBINATIONS.

How many ways are there to choose a committee of 3 people from a group of 5 people group of answer choices?

Total # of ways: 5C3*2^3=

80

. Answer: D.

How many ways can a committee of 3 be chosen from 12?

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 of 3 Be Chosen 8?

permutations can be selected in 8!/5! =

336 ways

.

How many ways can a committee of 3 be selected?

(n−r)! → 10! (10−3)! =

720

.

How many ways are there to select a committee?

How many ways is there to do this? Solution Let’s think of this with a slot diagram where each slot corresponds to choosing a committee. This gives a total of

34,650 possible committees

.

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 we select 3 students out of a group of 5 students to stand in a line for a picture?

By the product rule, there are 5 · 4 · 3 =

60 ways

to select three students from a group of five students to stand in line for a picture.

How many ways can a committee of 3 be selected from a group of 7?

Once we have chosen the first and second, we have seven (7) choices left for the third. So the total combinations are 9 times 8 times 7. This gives us

504

.

How many different committees of 3 people can be chosen to work on the JS Prom from a group of 9 people?

We can form

84 committees

.

How many ways are there to choose a committee of 4 persons from a group of 10 persons if one is to be the chairperson?

So there are

5,040 way

to select 4 people from 10.

How many ways can a committee of three people be selected from four people?

Total # of ways: 4C3*2^3=

32

.

How many ways can you select a committee of 4 students out of 10 students?

By fundamental counting principle, such committee of 4 can be made in 6 × 66 =

396 ways

.

How many ways a committee of 3 members may be formed out of 6 applicants?

There are

20 ways

to choose 3 students from a group of 6 students.

How many different combinations are possible if 3 players are selected from a team of 9?

In the end, we see that there are

84 ways

to pick 3 people from a group of 9 as long as order does not matter. Consider another example.

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

There are

252 ways

to select a committee of five members from a group of 10 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 3 students can be formed from a group of 4 students?

So, there are

2300 different committees

that can be formed.

How many ways can a committee of 4 be chosen from 7?

Hence, a committee of 4 people be selected from a group of 7 people in

35 ways

.

How many ways can a committee of 5 be chosen from 10?

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

252

.

How many committees of 4 students can be chosen from a group of 15?

Answer: There are possible combinations of 4 students from a set of 15. There are

1365 different committees

.

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

.

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.