perplexus.info :: Numbers : Pick 6 get power of 6

Pick 6 get power of 6 (Posted on 2023-05-03)

In how many ways can 6 different numbers be chosen from the first 25 positive integers such that the product of these numbers is a power of 6?

Note: This problem is adapted from a regional math competition for students up to grade 9 and calculators were not allowed.

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Subject	Author	Date
Puzzle Thoughts	K Sengupta	2024-02-23 22:38:02
solution	Larry	2023-05-08 10:50:35
re(2): manual solution	Charlie	2023-05-04 15:52:24
corrected program and solution	Charlie	2023-05-04 15:45:58
re: manual solution	Jer	2023-05-04 08:53:49
re: computer solution (spoiler)	Jer	2023-05-04 08:46:13
manual solution	Paul	2023-05-03 17:55:34
re: computer solution (spoiler)	H M	2023-05-03 17:40:31
computer solution (spoiler)	Charlie	2023-05-03 16:26:21

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