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

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

Jasonkiln Aug 13, 2022

#1**0 **

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 :)!

Guest Aug 13, 2022