Question

How many arrangements can be made for the letters in the word TROTTING? In how many of these are N and G next to each other. ​

Answer 1

6720.

1680.

Explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.