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

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Re: What is the number of different committees of 4 people that can be sel [#permalink]
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Kudos
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]
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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Re: What is the number of different committees of 4 people that can be sel [#permalink]
Bunuel
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]
Bunuel
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.

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Re: What is the number of different committees of 4 people that can be sel [#permalink]
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Re: What is the number of different committees of 4 people that can be sel [#permalink]
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