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# Twelve doctors are to be selected by hospital staff to sit o

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Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 18

Kudos [?]: 50 [0], given: 220

Twelve doctors are to be selected by hospital staff to sit o [#permalink]  29 Oct 2017, 02:20
00:00

Question Stats:

50% (01:17) correct 50% (01:06) wrong based on 2 sessions
Twelve doctors are to be selected by hospital staff to sit on a six-person committee. Within that committee, an additional subcommittee of three doctors will be formed. How many unique sub-committees are possible?

[Reveal] Spoiler: OA
220

Kudos for correct solution.
Director
Joined: 03 Sep 2017
Posts: 520
Followers: 1

Kudos [?]: 363 [2] , given: 66

Re: Twelve doctors are to be selected by hospital staff to sit o [#permalink]  30 Oct 2017, 10:22
2
KUDOS
It does not matter how many committees there are but only how many sub-committees. Thus, we can solve it using $$12C3 = \frac{12!}{9!3!} = 220$$
Re: Twelve doctors are to be selected by hospital staff to sit o   [#permalink] 30 Oct 2017, 10:22
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