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?

Question

___ < ___ > ___ < ___ > ___

Answer 1

There is only one way to arrange the numbers 1 through 5 in the boxes to satisfy all the given inequalities:

1 < 3 > 2 < 5 > 4.