Three distinct 3-digit positive decimal integers P, Q and R, each having no leading zeroes and with P > Q > R, are such that:
(i) The product P*Q*R contains precisely one 8, one 6, one 5, one 4, two 3’s and three 2’s (albeit not necessarily in this order), and:
(ii) P*Q*R consists of precisely 9 digits with the last digit being 6, and:
(iii) P, Q and R are obtained from one another by cyclic permutation of digits.
Determine all possible triplet(s) (P, Q, R) that satisfy the given conditions.
Note: This problem can be solved without using a computer program, however computer program/spreadsheet solutions are welcome.