Your local Baskin Robbins has 32 flavors of ice cream. You eat an ice cream cup every day for a month (30 days). 1. How many ways are there to do this, if there are no restrictions? 2. How many ways are there to do this without eating the same flavor for two consecutive days in a row? 3. Suppose that Baskin Robbins only has 20 cups of vanilla ice cream. How many ways are there to buy the 30 cups of ice cream, if you are not concerned about how to distribute them right now?

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