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Determine the number of ways to arrange the letters of the word PROOF.

 Jan 5, 2020
 #1
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I think if they were all different it would be 5! ways = 120

   but 2 are indistiguishible 'O' s.....so divide by 2   = 60 ways    (I think !  cheeky)

 Jan 5, 2020
 #2
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When doing these sorts of problems, you take the factorial of the total number of letters, then divide it by however many same letters there are. In this case it would be 5!/2!. I divide by the 2! since there are 2 letter o's. Simplifying, we get 120/2 = 60. Hope I helped!

 Jan 7, 2020

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