A certain club consists of 5 men and 5 women. A 5-member committee consisting of 2 men and 3 women has to be constituted. How many ways are there of constituting this committee?
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DSE 2013 Question 15: Combinatorics and counting
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A certain club consists of 5 men and 5 women. A 5-member committee consisting of 2 men and 3 women has to be constituted. How many ways are there of constituting this committee? (A) 20 (B) 100 (C) 150 (D) None of the above
Combinatorics and counting has come up 24 times in 5 exams since 2009.
What this question tests
This question is on Permutations and combinations, part of Combinatorics and counting in Mathematics.
Counting arrangements and selections, with and without restrictions.
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Question from the DSE 2013 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.