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In how many ways can the letters of the word ACCURACY be rearranged?
 

I thought 13440 because 7!/3!*2!

 Aug 13, 2022
 #1
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Hi Jason!

Let's write the word "ACCURACY" as below:

A C   U R      Y               (This is just listening the letters, and any repeated letter below each other; thus making counting repeats easier.)
A C  

   C

Total number of letters = 8     (You used 7, not 8) 

Repeated C = 3 

Repeated A = 2 

Therefore ,\(\frac{8!}{3!*2!}\)  = 3360 ways

(We divide the total by the number of the repeated, and accounting for their permutations by using !).

I hope this helps :)!

 Aug 13, 2022

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