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maolivie
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 Posted: Mon Jul 09, 2007 12:43 pm Post subject: Princeton PS |
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A five-member committee is to be formed from a group of five military officers and nine civilians. If the committee must include at least two officers and two civilians, in how many different ways can the committee be chosen?
Sorry - no answer choices
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givemeanid
Really wants to Beat The GMAT!
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| Posted: Mon Jul 09, 2007 3:35 pm Post subject: |
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The committe can be
1. 3 officers 2 civilians OR
2. 2 officers 3 civilians
Total number of ways to choose 1 = 5C3 * 9C2 = 10 * 36 = 360
Total number of ways to choose 2 = 5C2 * 9C3 = 10 * 84 = 840
So, altogether, total number of ways = 360+840 = 1200
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