If the letters of the word ATTRACTION are written down at random, find the probability that (i) all the T's occur together, (ii) no two T's occur together.

Explanation

Number of letters in ATTRACTION `=10`

`P(`T occurs together)`=frac{{8!}/{2!}}{{10!}/{2!3!}}`

`=1/15`

`P(`No two T occurs together)`=frac{^8C_3times{3!}/{3!}times{7!}/{2!}}{{10!}/{2!3!}}`

`=7/15`