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How would you solve the following problem with Discrete Mathematics, and what is the answer?

Suppose there are 5 different types of ice cream you like. How many random samples ice cream must be eaten to guarantee that you have had at least 7 samples of one type?

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    Please share with us your thoughts on the problem.2012-12-06
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    I don't have any, discrete is impossible2012-12-06
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    Hint : You can think of this as a generalization of the pigeon hole principle.2012-12-06

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