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

To solve the problem, we need to find the total number of permutations of the letters in the word "TRIANGLE" and then determine how many of those permutations begin with 'T' and end with 'E'.

### Step 1: Calculate the total permutations of the letters in "TRIANGLE".

The word "TRIANGLE" consists of 8 distinct letters: T, R, I, A, N, G, L, E.

The formula for calculating the number of permutations of n distinct objects is given by n! (n factorial).

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