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

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

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This entry was posted on Thursday, July 29th, 2010 at 12:02 am and is filed under Gambling. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.

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:
    July 29th, 2010 at 12:59 am

    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.

  2. Jesse T. says:
    July 29th, 2010 at 1:16 am

    “There are no boundaries.”
    - Kris Allen, American Idol 2009

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