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22 Sep 2009, 19:41
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Six Canadian and 6 Mexican delegates attend an international trade conference. A three-delegate committee will be selected from the 12 delegates. How many three-delegate committees can be formed if each possible committee must include at least one Mexican delegate?
A) 260
B) 240
C) 220
D) 200
E) 20
A) 260
B) 240
C) 220
D) 200
E) 20
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22 Sep 2009, 19:55
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The correct answer is D: 200.
Total number of possible 3-delegate committees:
12C3 = 220
Subtract all committees with 3 Canadian delegates:
6C3 = 20
Total possible committees with 3-delegates, at least 1 Mexican:
220 - 20 = 200
Total number of possible 3-delegate committees:
12C3 = 220
Subtract all committees with 3 Canadian delegates:
6C3 = 20
Total possible committees with 3-delegates, at least 1 Mexican:
220 - 20 = 200
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Problem Solving (PS) Forum
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Thank you for understanding, and happy exploring!
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