Question

How many different arrangements of the letters in the word BETTER are there?
180
360
720

Answer 1

\[\frac{6!}{2!*2!}\]

Answer 2

@bohotness

Answer 3

There are 2 E's, so that's where the first 2! comes from
There are 2 T's, so that's where the second 2! comes from

Answer 4

6! = 720

Answer 5

you can do it on your calculator using n!

Answer 6

but mathematically it is 6! = 6 x 5 x 4 x 3 x 2 x1

Answer 7

i.e tyhere are 6 ways to arrange first letter
once first letter is selected, there are 5 ways to arrange second letter
etc