Dice Poker Chips

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:

   January 12, 2010 at 5:49 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:

   January 12, 2010 at 6:46 am

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