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 computer solution (spoiler) by Charlie)

You appear to be missing at least one set:

Posted by H M on 2023-05-03 17:40:31