Answer: We need to find the number of ways in which we can arrange the letters of A E I O U!
We have five letters and five places where we can place these five letters, so!
[tex]\begin{gathered} A\text{ E I O U} \\ \rightarrow\text{ 5}\cdot4\cdot3\cdot2\cdot1=5=120 \end{gathered}[/tex]That is the ways in which we can write A E I O U, the number of ways.!