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 re: manual solution by Jer)

Only [1,2,3,6,12,18] was missing from Paul's list.

Posted by Charlie on 2023-05-04 15:52:24