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The Basket of Eggs problem states that a person removing 2 eggs at time from an Easter basket has 1 left; the person removing them

The "Basket of Eggs" problem states that a person removing 2 eggs at time from an Easter basket has 1 left; the person removing them 3 eggs at a time has 2 left; the person removing them 5 at a time has 3 left. What is the fewest number of eggs possible in the basket? Please explain step by step how to get to the fewest number of eggs in detail on what you did?

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