What are maximum number of unique words that can be created with the letters of the word XETATHETA

Expert Answers
justaguide eNotes educator| Certified Educator

The word XETATHETA has 9 letters, there is 1 X, 2 E, 3 T, 2 A and 1 H.

The number of unique words that can be created using these letters is given by `(P^9_9)/(2!*3!*2!)`

= `(362880)/(2!*3!*2!)`

= 15120

There are 15120 unique words that can be created using all the letters of the word XETATHETA