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Geometric Generalization (Posted on 2013-02-28) Difficulty: 3 of 5
Three positive integers are chosen at random without replacement from 1,2,....,64. What is the probability that the numbers chosen are in geometric sequence?

Order of choice doesn't matter. For example, 4-1-2 would qualify as numbers in geometric sequence.

Bonus Question:
Generalise this result (in terms of n) covering the situation where three positive integers are chosen at random without replacement from 1,2,.....,n2.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
full solutionDaniel2013-02-28 13:21:38
re: Corrected solutionCharlie2013-02-28 12:50:23
Solutioncomputer solutionCharlie2013-02-28 12:46:10
Corrected solutionJer2013-02-28 11:30:27
Solution and most of bonusJer2013-02-28 10:54:38
Solutionanswer spoilerAdy TZIDON2013-02-28 10:51:53
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