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.

(In reply to manual solution by Paul)

You definitely have the intended interpretation.  These are the powers of 6 (as opposed to 6th powers.)   You found some that I missed and you analysis is thorough.

Posted by Jer on 2023-05-04 08:53:49