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What is the number of different committees of 4 people that can be sel

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Bunuel
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What is the number of different committees of 4 people that can be sel [#permalink] New post   16 Sep 2019, 07:05
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What is the number of different committees of 4 people that can be selected from a group of 10 people?

A. 20

B. 40

C. 80

D. 120

E. 210
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E
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tvivek
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   16 Sep 2019, 07:13
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Hello,

Out of 10 people, we need to select 4 people and this can be done in 10C4 ways.

10C4 can be written as 10!/6!*4! = 210 ways. Option E.

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Vivek
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   16 Sep 2019, 07:17
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.
Answer is E.

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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   16 Sep 2019, 07:28
Bunuel wrote:
What is the number of different committees of 4 people that can be selected from a group of 10 people?

A. 20

B. 40

C. 80

D. 120

E. 210


The number of different committees of 4 people that can be selected from a group of 10 people= 10C4 = 210

IMO E
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   16 Sep 2019, 10:12
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Ways if selecting a committee of 4 people from a total of 10 people = 10C4
10C4 = 10*9*8*7/(4*3*2)
= 210
Ans. = E
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   31 Jan 2020, 07:56
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Bunuel wrote:
What is the number of different committees of 4 people that can be selected from a group of 10 people?

A. 20

B. 40

C. 80

D. 120

E. 210


Since the order in which we select the committee members does not matter, we can use combinations to solve this question

We can select 4 people from 10 people in 10C4 ways
10C4 = (10)(9)(8)(7)/(4)(3)(2)(1)
= (10)(9)(7)/(3)(1)
= (10)(3)(7)
= 210

Answer: E

ASIDE: Here's a video on how to reduce your calculations when evaluating combinations like 10C4
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   05 Feb 2020, 05:35
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Bunuel wrote:
What is the number of different committees of 4 people that can be selected from a group of 10 people?

A. 20

B. 40

C. 80

D. 120

E. 210


The number of committees that can be selected is:

10C4 = 10! / (4! x 6!) = (10 x 9 x 8 x 7) / (4 x 3 x 2) = 5 x 3 x 2 x 7 = 210.

Answer: E
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Re: What is the number of different committees of 4 people that can be sel [#permalink] New post   19 Nov 2022, 09:12
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Re: What is the number of different committees of 4 people that can be sel [#permalink]
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