# Math Help - [SOLVED] Permutations

1. ## [SOLVED] Permutations

Hey Can anyone help me with this question.

19) In How many ways can you arrange the letters of the word " Think" so that the "t" and the "h" are seperated by atleast one other letter?

I did this question by doing:

2^3 * 3^2
8 * 9 = 72

at the back the answer is also 72. Did i do this correctly?

The pair ‘th’ are together in $2(4!)$ ways.
So they are separated by at least one letter in $(5!)-2(4!)$ ways.