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The number of permutations of n distinct objects is n! = 1*2*3* ... *n.

If a set contains n objects, but k of them are identical (non-distinguishable), then the number of distinct permutations is n!/k!.

If the n objects contains j of them of one type, k of another, then there are n!/(j!*k!).

The above pattern can be extended. For example, to calculate the number of distinct permutations of the letters of "statistics":

Total number of letters: 10

Number of s: 3

Number of t: 3

Number of i: 2

So the answer is 10!/(3!*3!*2!) = 50400

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Q: How do you calculate distinguishable permutations?
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