How many ways are there to distribute n distinct balls into r

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How many ways are there to distribute 4 balls into 3 boxes so that each box contains at least one object? (a) Both the balls and boxes are distinguishable. (b) The balls are indistinguishable, and the

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How many ways are there to distribute

There are n! ways to distribute n distinguishable balls into n distinguishable boxes such that no box can contain more than one ball. This comes from the fact that each ball has a number of choices that

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Claire has 4 boxes of crayons, with 20 crayons in each box. She

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How many ways are there to distribute 15 distinguishable objects into

There are 37,837,800 ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them,

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