9 boxes, 9 lines
total 18
2006-12-07 17:57:14
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answer #1
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answered by choirgirl1987 2
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EDIT: Just found a flaw. Hopefully I can fix it, til then this is wrong. Consider the point P on the parabola. Which points in the plane are equidistant from P and the line y=16? This is description of a parabola with focus P and directrix y=16! Suppose P has coordinates (c, c^2). The vertex of the new parabola will have coordinates (c, (16+c^2)/2). It is also the point on the new parabola which is closest to P. So it is the *only* point on the new parabola we care about. The vertex lies at (c, 8 + c^2/2) We could repeat this process for any point (c,c^2) on the parabola. I.e., the equation y = 8 + x^2/2 is the curve which describes the *set of points which are equidistant from the line y=16 to the curve y =x^2.* The region which is closer to the parabola is the region which is bounded by y=x^2 and y = 8 + x^2/2. Draw a picture of these two curves. If you know some calculus, you can see that this area is equal to Integral from -4 to 4 of (8 + x^2/2 - x^2) = Integral from -4 to 4 of (8 - x^2/2) = [8x - x^3/6]_-4^4 = 128/3 The probability of picking a point in that smaller region is equal to the ratio of the area of that region to the area of the entire region between y=16 and y=x^2. The area of the whole region is Integral from -4 to 4 of (16 - x^2) = [16x - x^3/3]_-4^4 = 256/3 Therefore probability = (128/3)/(256/3) = 1/2. This suggests that there's a more intuitive way to do this...
2016-03-28 22:56:36
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answer #2
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answered by Anonymous
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A 9*9 sudoku has nine boxes to be filled. so u can arrange one box in 9*8*7*6*5*4*3*2= 362880 possible ways. for a 9*9 sudoku there may be as big as 362880*9=3265920 ways
2006-12-07 23:25:01
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answer #3
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answered by No matter what happens i ll... 2
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What is a single sudoku? If you mean a 1x1 sudoku? then you will be able to make 9 sudoku with 1-9 in it...
2006-12-07 18:00:54
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answer #4
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answered by Eshwar 3
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according to me i think ..
ther r 81 numbers in a 9*9 sudoko
so all these 81 numbers can be paced in all the 81 squares
so we can make 81*81 sudokus using a single one
6561 sudokus
2006-12-14 22:18:41
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answer #5
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answered by Maddy 2
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Lots! This is from:
http://en.wikipedia.org/wiki/Sudoku
Mathematics of Sudoku
Main article: Mathematics of Sudoku
A completed Sudoku grid is a special type of Latin square with the additional property of no repeated values in any 3×3 block. The number of classic 9×9 Sudoku solution grids was shown in 2005 by Bertram Felgenhauer and Frazer Jarvis to be 6,670,903,752,021,072,936,960 [24] (sequence A107739 in OEIS) : this is roughly 0.00012% the number of 9×9 Latin squares. Various other grid sizes have also been enumerated—see the main article for details. The number of essentially different solutions, when symmetries such as rotation, reflection and relabelling are taken into account, was shown by Ed Russell and Frazer Jarvis to be just 5,472,730,538 [25] (sequence A109741 in OEIS). Both results have been confirmed by independent authors.[cita
2006-12-07 18:13:06
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answer #6
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answered by modulo_function 7
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18
2006-12-07 18:13:52
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answer #7
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answered by Anonymous
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18
2006-12-07 18:03:36
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answer #8
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answered by Anonymous
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Locana: Sudoku
... (say 7), there will be multiple solutions based on how many numbers are missing. ... it can make up to 50 puzzles at a time, with either 1 or 4 puzzles per page. ...
http://locana.blogspot.com/2005/05/sudoku.html
2006-12-12 03:29:46
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answer #9
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answered by Krishna 6
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well then answer is 9^(9^9) this is the bigget 3 numeral no. whose values goes into crores
2006-12-09 05:52:08
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answer #10
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answered by tanmay_4u_alwaz 1
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