211k views
4 votes
Sam has nine flower pots, and want to display four of them on the front porch, in a row. (The order of the pots matters.) How many different displays are possible?

2 Answers

3 votes
Permutations of 9 flower pots taken 4 at a time:

nPr = 9P4 = 3,024 - displays possible when order of flower pots matters.
I hope this helps
I at least think what this is asking.
User BefittingTheorem
by
9.1k points
5 votes
Sam can choose any of the 9 pots for the first in the row, any of the remaining 8 for the second in the row, then any of the remaining 7, then any of the remaining 6. The total number of different displays is
9*8*7*6 = 3024

_____
This is nPk = n!/(n-k)! where n=9 and k=4.
User Trace
by
8.4k points