Question

How many five letters words can be formed using the letter $TIMRET$?

Answer 1

TIMRET has $6$ different letters;

We have to select $5$ letters out of 6 letters:

$n=6;$

$r=5;$

The formula for selection of r things from the n things is given as follows:

${}^n{C}_r{=}^6{C}_5=6$

These $5$ selected letters can be arranged in $5!$ ways $=120$

So total possibility $=6\times 120=720$

This $720$ words we can formed by the $5$ letters out of $TIMRET$.

Hence, this is the answer.