+0  
 
+2
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avatar+418 

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

Logic  Oct 18, 2018
 #1
avatar+67 
+2

Is the answer 20?

SydSu22  Oct 18, 2018
 #2
avatar+90968 
+3

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

 

5!  /  2!   =    120  / 2   =  60

 

 

cool cool cool

CPhill  Oct 18, 2018
 #3
avatar+3270 
+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.

tertre  Oct 19, 2018

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