180
Step-by-step explanation:
Given : BETTER
To Find: How many different arrangements of the letters in the word BETTER are there?
Solution:
Total number of letters = 6
Repeated letters = E and T
E =2
T =2
So, number of different arrangements of the letters in the word BETTER :
=![\frac{6!}{2!*2!}](/tpl/images/0212/2204/f41b3.png)
=![180](/tpl/images/0212/2204/3281c.png)
Hence there are 180 different arrangements of the letters in the word BETTER