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In the worst case, each package of cards contains 20 different cards, and each package is different than any other package. This means that, if there are 550 different cards, it would take 27.5 packages to contain all 550 cards. Since you cannot purchase a half package, you would have to purchase 28 packages to ensure that you get more than one of the same card.

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Q: A package of baseball cards contains 20 cards How many packages must be purchased in order to ensure that two cards in these packages are identical if there are a total of 550 different cards?
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