Find the number of permutations that can be had from the letters of the word 'OMEGA'
(i) O and A occuping and places.
(ii) E being always in the middle.

Explanation

The word 'TRIANGLE' has eight different letters, which can be arranged themselves in 8! Ways.
`therefore`Total number of permutations=8!=40320
Again, when T is fixed at the first place and E at the last place, the remaining six can be arranged themselves in 6! ways.
`therefore`The number of permutations which begin T and end with
`E=6!=720`.