We are asked to find the number of ways to arrange the letters in "CULLEN"
Notice that there are a total of 6 letters out of which 2 letters (L) are repeated.
The number of ways to arrange these letters is given by
[tex]no.\; of\; ways=\frac{6!}{2!}=\frac{6\times5\times4\times3\times2\times1}{2\times1}=6\times5\times4\times3=360[/tex]Therefore, there are 360 ways to arrange the letters in CULLEN.