Question 462745: There was a man in ancient india named Shashi.He designed a game(international chess) and presented it to the emperor.The emperor was very interested in the game and decided to reward Shashi.When asked what reward he wanted, Shashi pointed on the squares of the chessboard and said I would like wheat. Please put 1 grain of wheat on the first square, 2 on the second, 4 on the third,8 on the fourth, and so on, until all 64 squares had been filled. The emperor readily agreed and ordered his men to fulfill Shashi's request. However, his men came back to report that they could not do this even after the national granary had been emptied. Why was this so?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There was a man in ancient india named Shashi.He designed a game(international chess) and presented it to the emperor.The emperor was very interested in the game and decided to reward Shashi.When asked what reward he wanted, Shashi pointed on the squares of the chessboard and said I would like wheat. Please put 1 grain of wheat on the first square, 2 on the second, 4 on the third,8 on the fourth, and so on, until all 64 squares had been filled. The emperor readily agreed and ordered his men to fulfill Shashi's request. However, his men came back to report that they could not do this even after the national granary had been emptied. Why was this so?
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2^0 + 2 + 2^2 + 2^3+ .... + 2^63 is more grains or wheat than there
are in the world.
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Cheers,
Stan H.
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