44- the number of derangements of 5 items (44 permutations where none of the elements appear in their original position)
***TRY IT! IT’S FUN!***
HINT:
9 is the number of derangements of 4 items ABC&D:
BADC, BCDA, BDAC,
CADB, CDAB, CDBA,
DABC, DCAB, DCBA
(all other permutations result in at least one in the original position)