You are at an ice cream shop that offers 9 different flavors of ice cream. A large ice cream cone comes with three scoops of ice cream. You can choose an ice cream cone with any combination of flavors for the three scoops: all three scoops can be the same flavor, two of the three can be the same flavor, or all three scoops can be different flavors. If the order in which the flavors are placed onto the ice cream cone is important, what is the total number of ways to construct a large ice cream cone?


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all the three same two same and one is different all the three are different

9*1*1 + 9*8*1 + 9*8*7 = 9+72+504=585

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