permutations

\$\begin{array}{|c|c|c|}\hline\text{Comparison}&\text{Example}&PI(a,b,c)\\\hline a<b<c&1,2,3&1\\\hline a<b>c>a&1,3,2&2\\\hline a>b<c>a&2,1,3&3\\\hline a<b>c<a&2,3,1&4\\\hline a>b<c<a&3,1,2&5\\\hline a>b>c&3,2,1&6\\\hline\end{array}\$