Question

Find the number of ways to arrange the letters in REPRESENT.

Answer 1

The Number of ways to arrange the letters in REPRESENT.

We count the number of the letters in REPRESENT

It is 9

We count the number of the repeated letters in REPRESENT

We have 3E and 2R

`\begin{gathered} \text{The number of ways to arrange the letters in REPRESENT} \\ =(9!)/(3!2!) \\ =(362880)/(6*2) \\ =(362880)/(12) \\ =30240\text{ ways} \end{gathered}`

The number of ways to arrange the letters in REPRESENT is 30240ways