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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: 453
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Kudos [?]: 621 [0], given: 289

If a 3-member subcommittee is to be formed from a certain 6- [#permalink]  01 Apr 2014, 02:37
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Difficulty:

5% (low)

Question Stats:

93% (01:16) correct 7% (01:16) wrong based on 58 sessions
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, 03:57, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 27465
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Kudos [?]: 42156 [1] , given: 5957

Re: if a 3-member subcommittee is to be formed from a certain 6- [#permalink]  01 Apr 2014, 03:56
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Expert's post
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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Joined: 19 Mar 2012
Posts: 60
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Kudos [?]: 5 [0], given: 24

Re: If a 3-member subcommittee is to be formed from a certain 6- [#permalink]  01 Apr 2014, 11:16
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
Re: If a 3-member subcommittee is to be formed from a certain 6-   [#permalink] 01 Apr 2014, 11:16
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