How many permutations can you make of the word statistics, Mathematics

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Q. How many permutations can you make of the word STATISTICS?

Solution: There are 10 letters in the word STATISTICS, i.e. n=10. Three of them are S's, so n1=3, three are T's, n2=3 and two are I's, n3=2. So the number of distinct arrangements is

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As you can see from this example, it is often impossible (without the help of a computer) to list all of the possible distinct permutations, but it is much easier to find the number of permutations.


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