2021 AMC 10B Problems/Problem 4
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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