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Daughter wished to marry gardener, father said OK provided gardener placed 1 grain of rice on first square of chess board and doubled up each square of chess board until no.64 was reached.How much rice was required for dowry.

2006-08-22 07:04:28 · 6 answers · asked by xenon 6 in Science & Mathematics Mathematics

6 answers

With a 1000 grains of rice being about 25 grams, or a little less than an ounce, a little over 1 trillion tons of rice will be required.

Or, in more practical terms, about 1700 years of the world's annual rice crop (about 593 million tons a year are produced world wide).

2006-08-22 07:34:11 · answer #1 · answered by Bob G 6 · 0 1

There are 2^(n-1) grains on the nth square. (2^63 on the 64th)
1+2+4+...+2^63 = 2^64-1 =18,446,744,073,709,551,615
The chess board had better be pretty big...
If every grain were 1 cubic millimeter in size (which is on the very small size), and at 10^18 cubic millimeters per cubic kilometer, the volume of the rice would be 18.45 cubic kilometers, or a cube about 2.64 kilometers per side.

2006-08-22 07:18:49 · answer #2 · answered by Scott R 6 · 0 0

2^64 - 1
grains of rice
that would make thousands of tons of rice... poor gardener...

2006-08-22 07:11:07 · answer #3 · answered by camedamdan 2 · 0 1

2^63+1=9.22337203685E18 approximately

2006-08-22 07:17:11 · answer #4 · answered by Anonymous · 0 1

18446744073709551615

grains

2006-08-22 07:27:54 · answer #5 · answered by Anonymous · 0 0

lots

2006-08-22 07:11:57 · answer #6 · answered by Bob 4 · 0 1

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