In how many ways can the numbers 1 through 5 be entered once each into the five boxes below so that all the given inequalities are true?
There are six permutations that work
1 3 2 5 4
1 5 2 3 4
2 3 1 5 4
2 5 1 3 4
3 5 1 4 2
3 5 2 4 1
Thanks, that's right!