+0  
 
+2
97
3
avatar+539 

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

 Oct 18, 2018
 #1
avatar+119 
+2

Is the answer 20?

 Oct 18, 2018
 #2
avatar+94321 
+3

The number of distinguishable "words"  that can be made is

 

5!  /  2!   =    120  / 2   =  60

 

 

cool cool cool

 Oct 18, 2018
 #3
avatar+3726 
+2

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.

 Oct 19, 2018

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