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How many different subcommittees can be formed among the six members

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How many different subcommittees can be formed among the six members  [#permalink]

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New post 31 Jan 2017, 10:10
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (00:56) correct 25% (00:55) wrong based on 287 sessions

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Joined: 18 Oct 2016
Posts: 4
Location: Italy
Concentration: Economics, Finance
GMAT 1: 550 Q42 V24
GPA: 3.5
Re: How many different subcommittees can be formed among the six members  [#permalink]

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New post 31 Jan 2017, 10:32
2
Statements 1 and 2 give the same information, hence the possible answers are D or E.

Let's use complement strategy: P(A)= 1 - P(NOT A).

Wrong possibilities--> subcommitties with only 1 member--> 6 members--> 6 possible subcommitties.

Total possible subcommitties: 6! = 720.

P(A) = 720 - 6 = 714.

Answer D
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Re: How many different subcommittees can be formed among the six members  [#permalink]

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New post 23 Apr 2017, 05:42
1
Total number of ways of forming :

3 committees of 2 members each = 6C2 x 4C2 = 90
2 committees of 3 members each = 6C3 = 20
2 committees of 4 and 2 members = 6C4 = 15

Total number of ways = 125
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Re: How many different subcommittees can be formed among the six members  [#permalink]

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New post 09 Jan 2019, 13:00
pigi512 wrote:
Statements 1 and 2 give the same information, hence the possible answers are D or E.

Let's use complement strategy: P(A)= 1 - P(NOT A).

Wrong possibilities--> subcommitties with only 1 member--> 6 members--> 6 possible subcommitties.

Total possible subcommitties: 6! = 720.

P(A) = 720 - 6 = 714.

Answer D


Bunuel,

Is above method correct ?

Thanks
GMAT Club Bot
Re: How many different subcommittees can be formed among the six members   [#permalink] 09 Jan 2019, 13:00
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How many different subcommittees can be formed among the six members

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