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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?

 Apr 24, 2022
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Choose any 4 of the 9 to be on the first row and arrange them in 4! = 24 ways

 

The other 5 are assigned to the second row automatically and  can  be arranged in 5!  =120 ways

 

So....the number of possible displays   =  C(9,4) * 4! * 5!   = 362880  

 

cool cool cool

 Apr 24, 2022

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