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# Here is an easy one to refresh your memory of Comb/Perm.

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VP
Joined: 06 Jun 2004
Posts: 1059
Location: CA
Followers: 2

Kudos [?]: 54 [0], given: 0

Here is an easy one to refresh your memory of Comb/Perm.  [#permalink]  04 Feb 2006, 22:29
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Here is an easy one to refresh your memory of Comb/Perm.

Of a total of 10 teachers, 6 teach French, others teach Spanish and Chinese. If 3 teachers are to be selected for a committee including at least one French teacher, how many such committees are possible?
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VP
Joined: 21 Sep 2003
Posts: 1065
Location: USA
Followers: 3

Kudos [?]: 39 [0], given: 0

116?

All combos - No French teacher
10C3 - 4C3 = 116
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"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

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Senior Manager
Joined: 05 Jan 2006
Posts: 382
Followers: 1

Kudos [?]: 36 [0], given: 0

F for French X for other

FXX + FFX + FFF

C(6,1)*C(4,2) + C(6,2)*C(4,1) + C(6,3)
36+60+20 = 116

easy but multiplication and addition will make it 1.30+ min question...
Intern
Joined: 31 May 2005
Posts: 12
Followers: 0

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

Can someone explain.

thanks
Director
Joined: 09 Oct 2005
Posts: 720
Followers: 3

Kudos [?]: 14 [0], given: 0

nshankaran wrote:

Can someone explain.

thanks

Maybe some typo in GMATPREP?
It should be 116
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IE IMBA 2010

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