Question

How many different ways can the letters in the word TUSCALOOSA be arranged?

Answer 1

453600 ways

Explanation:

I used permutation

in the word TUSCALOOSA it is observed that (s) appears 2 times (2!) and A appears 2 times also (2!) and O appears 2 times (2!)

Total letters there are 10

to find how they are arranged:-

`(10 !)/( \ \:2!2!2! ) = (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)/(2 * 1 * 2 * 1 * 2 * 1)`

=

`(3628800)/(8)`

=453600

i hope this helps