How many different ways can the letters of attractive be arranged

Answer 1

How many letters are in the word attractive? There are 10 letters. How many letters are repeated? A is repeated 2 times and t is repeated 3 times.

You then set up the equation 10! / (2!3!). This is the total # of letters factorial divided by the # of times a letter is repeated factorial. If multiple letters are repeated you multiply the factorials in the denominator.

You should get 302400 for an answer.