![]() ![]() In other words it is now like the pool balls question, but with slightly changed numbers. We define combinations as the ways of choosing objects from a set of an objects. This is like saying "we have r + (n−1) pool balls and want to choose r of them". So (being general here) there are r + (n−1) positions, and we want to choose r of them to have circles. Notice that there are always 3 circles (3 scoops of ice cream) and 4 arrows (we need to move 4 times to go from the 1st to 5th container). So instead of worrying about different flavors, we have a simpler question: "how many different ways can we arrange arrows and circles?" Let's use letters for the flavors: (one of banana, two of vanilla): Identify the most appropriate method to solve a particular counting problem and solve counting problems using factorial, combination, and permutation concepts.Let us say there are five flavors of icecream: banana, chocolate, lemon, strawberry and vanilla. If the order is important, use the permutation formula.
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