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Finite Mathematics - Combinations

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1. Suppose you are playing a word game with seven distinct letters. How many seven-letter words can there be?

2. Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went
to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?

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In set theory, we use the "Union symbol" for "or" and the "Intersection symbol" for ...

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