How many different ways can a set of poker chips be arranged and what probability rule applies to it?

ronny asked:


How many different ways can a set of containing 8 blue, 4 red, and 5 white chips be arranged in a row?

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2 Responses to “How many different ways can a set of poker chips be arranged and what probability rule applies to it?”

  1. kb says:

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    This is a permutation with repetition question (like arranging the letters in “MISSISSIPPI”). To prevent over-counting, we divide by factorials over all repeated colors. This yields

    (8+4+5)! / (8! 4! 5!) = 17! / (8! 4! 5!) ways.

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    “There are no boundaries.”
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