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

 Nov 14, 2020
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For the first row, we want to choose any 4 of the 9 pots  and arrange them in 4! ways

So  this is   C(9,4) * 4!   = 3024

For the second row, we  can arrange  any of the 5 remaining pots in 5!  ways  = 120 ways

 

So.....the total arrangements  are

 

3024 * 120  =

 

362880

 

 

cool cool cool

 Nov 14, 2020

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