2021 AMC 12B Problems/Problem 2
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Problem
At a math contest, students are wearing blue shirts, and another students are wearing yellow shirts. The 132 students are assigned into pairs. In exactly of these pairs, both students are wearing blue shirts. In how many pairs are both students wearing yellow shirts?
Solution
There are students paired with a blue partner. The other students wearing blue shirts must each be paired with a partner wearing a shirt of the opposite color. There are students remaining. Therefore the requested number of pairs is ~Punxsutawney Phil