Solution
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
[tex]\begin{gathered} \text{The number of ways to arrange the letters in REPRESENT} \\ =\frac{9!}{3!2!} \\ =\frac{362880}{6\times2} \\ =\frac{362880}{12} \\ =30240\text{ ways} \end{gathered}[/tex]The number of ways to arrange the letters in REPRESENT is 30240ways
