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Mathematics, 06.05.2020 01:02 Miloflippin9766

You have exactly $1000 in $1 bills. That’s one thousand one-dollar bills. You also have a stack of empty envelopes. You will be separating the bills into different envelopes, as many envelopes as you need. Every envelope can have a different amount of money, and what’s in the envelope is not secret – you can write it on the outside of the envelope if you want to before you seal it. Once your money is divided, someone will ask you for a random amount of money, between $1 and $1000, and you will hand them the envelope(s) that add up to exactly the requested amount. What is the fewest number of envelopes you need to use to make this possible, no matter how much is requested? And how many dollar bills are in each envelope?

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