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You have 15 marbles and three jars labeled A, B, and C. How many ways can you put the marbles into the jars... if each

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You have 15 marbles and three jars labeled A, B, and C. How many ways can you put the marbles into the jars... if each marble is different? if each marble is the same? if each marble is the same and each jar must have at least two marbles? if each marble is the same but each jar can have at most 6 marbles? if you have 10 identical red marbles and 5 identical blue marbles

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