Fifty students were surveyed about their participation in hockey and baseball. The results of the survey were:
33 students played hockey
24 students played baseball
8 students played neither hockey nor baseball
How many of the students surveyed played both hockey and baseball?
We know \(50-8=42\) students played at least one sport. Now, we see that \(33+24=57\), but there couldn't be 57 players with only 42 students! Therefore, some play both. In fact, \(57-42=15\) students played both.
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:P