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Junior Member
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Sep 29, 2007, 10:32 PM
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Combinations
The personnel manager for a commercial bank has interviewed five men and seven women for four managerial training positions available with her bank. If the final selection will include two men and two women, how many different combinations are possible?
Any suggestions will help.
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Full Member
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Sep 29, 2007, 10:40 PM
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I am thinking it is 4 because that is what 2 squared equals... the number of the final selection.
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Senior Member
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Sep 29, 2007, 10:44 PM
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Are you sure its 4? At first glance I thought it was 4, but there are no other outcomes are there? So I get 3
Man, man
Woman, man
Woman, woman
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Full Member
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Sep 29, 2007, 10:50 PM
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Good point. Yep. Its 3. I was thinking woman, man... man, woman... but that is the same. So yep. Its 3.
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Junior Member
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Sep 29, 2007, 11:36 PM
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Then I wonder why my answer is 210??
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Junior Member
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Sep 29, 2007, 11:54 PM
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210? I got 5.3:confused:
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Ultra Member
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Sep 30, 2007, 04:31 AM
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The answer is 210.
C(5,2)*C(7,2)=210
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Cars & Trucks Expert
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Sep 30, 2007, 05:01 AM
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Originally Posted by zqueez
The personnel manager for a commercial bank has interviewed five men and seven women for four managerial training positions available with her bank. If the final selection will include two men and two women, how many different combinations are possible?
Any suggestions will help.
Man, man, woman, woman
-or-
Man, woman, man, woman
-or-
Man, woman, woman, man
-or-
Woman, woman, man, man
-or-
Woman, man, woman, man
-or-
Woman, man, man, woman
Did I miss any combonations of two and two?
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Ultra Member
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Sep 30, 2007, 05:08 AM
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Yes, about 204 of them :)
The men and women are distinct. They are different individuals, not just a man and a woman.
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Junior Member
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Sep 30, 2007, 10:06 PM
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Thank you, all!
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