You are buying a triple-deck ice cream cone with chocolate chip, strawberry, banana, and vanilla as possible flavors. The flavors can be repeated or not. Consider two cones to be different if the flavors are the same but occur in different order. How many different cones are possible?
Answer
There are four choices for the bottom scoop. Once this decision is made, there are still 4 choices for the scoop above that since flavors can be repeated. Similarly there are 4 choices for the third scoop. In total, there are \(4\cdot4\cdot4 = \boxed{64}\) orders.
Step 1 ：There are four choices for the bottom scoop. Once this decision is made, there are still 4 choices for the scoop above that since flavors can be repeated. Similarly there are 4 choices for the third scoop. In total, there are \(4\cdot4\cdot4 = \boxed{64}\) orders.
