Question

How many different words can be formed from $INTERMEDIATE$ that start with $I$ but don't end with $E$?

Answer 1

Word is $INTERMEDIATE$

$\because$ Let it there be $12$ boxes

here indicated no's are no. of words to fill

Total ways $\to \frac{1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9\times 10\times 8}{3!\times 2!\times 2!}$

${}^{\prime }{E}^{\prime }$ is repeating $3$ times

${}^{\prime }{T}^{\prime }$ is repeating $2$ times

${}^{\prime }{I}^{\prime }$ is repeating $2$ times