The permutation formula is given as:
[tex]P(n,k)=\frac{n!}{(n-k)!}[/tex]In this case n=27 and k=3; plugging the values in the formula we have:
[tex]P(27,3)=\frac{27!}{(27-3)!}=\frac{27!}{24!}=\frac{27\cdot26\cdot25\cdot24!}{24!}=27\cdot26\cdot25=17550[/tex]Therefore, we have that P(27,3)=17550
