Question

How many unique ways are there to arrange the letters in the word HATTER?

Answer 1

Answer: There are 360

Explanation:

You have 6 places for where to place the H, 5 places for the A, 4 places for the E, and lastly 3 places for the R-- And the T's can go in the remaining places.

Therefore: 6 x 5 x 4 x 3 = 360

Answer 2

You have 6 choices for where to place the H, 5 choices for the A, 4 choices for the E, and 3 choices for the R

(and then the 2 T's go in the remaining places).

This gives 6⋅5⋅4⋅3=360 choices.