SOLUTION: 1. Find the number of distinguishable permutations of the letters of the word PROPOSAL.

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Question 1179189: 1. Find the number of distinguishable permutations of the letters of the word PROPOSAL.
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!

There are 8 letters, which, if distinct, would give 8! permutations.
Since there are 2 O's, 2 P's, we need to divide by 2!*2! as the permutations of those identical letters are indistinguishable:
8!/(2!*2!) = 10080
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