Determine the number of ways to arrange the letters of the word PROOF.
Is the answer 20?
The number of distinguishable "words" that can be made is
5! / 2! = 120 / 2 = 60
Yes, 60 is correct. We have 5 letters in total and the letter, "O" repeats twice, so 5!/2!=5*4*3=20*3=60 ways.