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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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Comments: ( Back to comment list | You must be logged in to post comments.)
re: Corrected solution | Comment 5 of 6 |
(In reply to Corrected solution by Jer)

Your list agrees with mine; but there are 58 members on the list, not 57.
  Posted by Charlie on 2013-02-28 12:50:23

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