# A cheese shop carries a large stock of 34 kinds of cheese. By the end of the day, 48 cheese sales have been made, and the items sold must be restocked. How many different restocking orders are Possible?

Monday, July 19th, 2010

### Solution:

- 48 cheese sales have been made
- The first sale could have been one of 34 different types of cheese
- The second sale could also have been one of 34 different types of cheese etc.
- The 48
^{th}sale could also have been one of 34 different types of cheese - Each sale is independent of every other sale, so each event increases the number of possible restocking orders by a factor of 34
- Therefore, the number of possible restocking orders = 34
^{48}

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