# An apple seller is hosting a competition. He offers 1000 apples and...........will you be able to win a thousand apples?

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An apple seller is hosting a competition. He offers 1000 apples and 10 boxes to the people who pass by. The challenge is to put those 1000 apples in the 10 boxes in such a manner that if he asks for any amount of apples, the person is able to directly give him the boxes or a combination of boxes. If the person can do it, he promises to give a thousand apples for free.

If you happen to pass by the apple seller, will you be able to win a thousand apples?

posted Mar 15

Use powers of 2-- 2^0 to 2^9 which sums up to 2^10=1024 so the box number 10 will have minus 24 apples. 1,2,4,8, ... , 256 (total 511) and 489 to make 1000.
Any number less than 1000 can be made by the combination of the boxes.

Then there are 999 apples in 10 boxes. You must put 1,000 apples.
thanks, corrected

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On behalf of Muzeeb Shaik