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