How many words can be formed from the letters of the word $TRIANGLE$ ? In how many of these does the word start with $T$ and end with $E$ ?

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Solution

I _ _ _ _ _ _ E
AGILNR
No. of ways of arranging A, G, I, L, N, R is $6!$
$∴$ There are $6!$ words which start with I and end with E.

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