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Princeton PS

Expert replies
by maolivie » Mon Jul 09, 2007 12:43 pm
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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Source: — Problem Solving |

by givemeanid » Mon Jul 09, 2007 3:35 pm
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
So It Goes
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