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

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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+0 Answers

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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