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How many distinct permutations of the characters in

Question: 1) How many 5-card hands from a standard 52-card deck contain exactly 3 jacks and exactly 2 hearts?

2) How many distinct permutations of the characters in ERROR are there? (Remember that the various R's cannot be distinguished from one another.)

3) How many distinct permutations of the characters in LOLLAPALOOZA are there?

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Mathematics: How many distinct permutations of the characters in

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