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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Puzzle Thoughts

Comment 9 of 9 |

There are precisely 18 ways.

Posted by K Sengupta on 2024-02-23 22:38:02

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