We have five slots to fill: Slot A, Slot B, Slot C, Slot D, Slot E
There are 9 choices for slot A There are 8 choices for slot B (we can't pick the same object twice) There are 7 choices for slot C There are 6 choices for slot D There are 5 choices for slot E
Multiplying these values out gives us 9*8*7*6*5 = 15120