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Find the number of permutations of the letters of the word MISSISSIPPI.

Question

Find the number of permutations of the letters of the word MISSISSIPPI.

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Solution

To find the number of permutations of the letters in the word MISSISSIPPI, we can use the formula for permutations of a word with repeated letters.

Step 1: Count the number of times each letter appears in the word. In this case, we have:

  • M appears once
  • I appears four times
  • S appears four times
  • P appears two times

Step 2: Calculate the factorial of the total number of letters in the word. In this case, we have 11 letters, so the factorial is 11!.

Step 3: Divide the factorial by the product of the factorials of the number of times each letter appears. In this case, we have:

  • 11! / (1! * 4! * 4! * 2!)

Step 4: Simplify the expression. In this case, we have:

  • 11! / (1! * 4! * 4! * 2!) = 34,650

Therefore, there are 34,650 permutations of the letters in the word MISSISSIPPI.

This problem has been solved

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