Pay Attention

Probability Level 2

How many ways can you rearrange the letters in the word ATTENTION?

Note: The N's and T's are indistinguishable.

Image credit: my2ndheartbeat.wordpress.com .

The answer is 30240.

1 solution

David Pilling
May 17, 2016

There are $9$ letters, but $3$ are $T$ 's and $2$ are $N$ 's. So the answer is $\frac{9!}{(3!)(2!)} = \boxed{30240}$