Let's number the boxes 1 through 5. The number of arrangements can be found by counting out all of the possible arrangements of the numbers 1, 2, 3, 4, & 5, but only for those numbers that are in ascending order (1, 2, 3, 4, 5, 12, 13, 14, 15, 23, 24, 25, 34, 35, etc.), for a total of 31 different arrangements. |