How many permutations can be made out of the letters of the word 'TRIANGLE ' ? How many of these will begin with T and end with E ?

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`.