AIME 2012b Problem 3
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- Answer
At a certain university, the division of mathematical sciences consists of the departments of mathematics, statistics, and computer science. There are two male and two female professors in each department. A committee of six professors is to contain three men and three women and must also contain two professors from each of the three departments. Find the number of possible committees that can be formed subject to these requirements.
Dataset text AIME 1983 to 2026. Quoted with source.
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88
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