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# If a 3-member subcommittee is to be formed from a certain 6-

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Senior Manager
Joined: 21 Oct 2013
Posts: 435
If a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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01 Apr 2014, 03:37
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Question Stats:

91% (01:18) correct 9% (00:40) wrong based on 173 sessions

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If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?

A. 6
B. 18
C. 20
D. 108
E. 216
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Apr 2014, 04:57, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 39672
Re: if a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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01 Apr 2014, 04:56
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goodyear2013 wrote:
if a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?

A) 6
B) 18
C) 20
D) 108
E) 216

Choosing 3 out of 6: $$C^3_6=\frac{6!}{(6-3)!3!}=20$$.

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Re: If a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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01 Apr 2014, 12:16
3
KUDOS
goodyear2013 wrote:
If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?

A. 6
B. 18
C. 20
D. 108
E. 216

Another way:
1st member can be selected in 6 ways
2nd can be selected in 5 ways
3rd can be selected in 4 ways
So total ways : 120
But to avoid the similar scenarios 120/3!=20
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Re: If a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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26 Jan 2016, 18:27
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Re: If a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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21 Mar 2017, 15:18
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If a 3-member subcommittee is to be formed from a certain 6- [#permalink]

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22 Mar 2017, 07:40
goodyear2013 wrote:
If a 3-member subcommittee is to be formed from a certain 6-member committee, how many different such subcommittee are possible?

A. 6
B. 18
C. 20
D. 108
E. 216

$$6C_3 = 20$$

Thus, the answer must be (C) 20
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Re: If a 3-member subcommittee is to be formed from a certain 6-   [#permalink] 22 Mar 2017, 07:40
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