SOLUTION: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following: In how many different ways can you arrange the letters of the word I

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Question 146032: Use either the fundamental counting principle or the permutation formulas (or both) to answer the following:
In how many different ways can you arrange the letters of the word INTERNET?



Answer by BrittanyM(80) About Me  (Show Source):
You can put this solution on YOUR website!
The best way to solve this problem is to use permutation.

We are given the word INTERNET, and we are asked to create as many letter combinations as possible with it.

There are a total of 8 letters in the word, but N, T, and E are all repeated once which makes them indistinguishable.

From the equation for permutation, we have:

8%21+%2F+2%21++2%21++2%21

Which gives us an answer of 5040.