Two digit prime numbers can be
(11,31,41,61,71) & (17,37,47,67,97)
or
(13,23,43,53,73,83)&(19,29,59,79,89)
So, total distinct products are 5*5 + 6*5 = 55
Case 1: 3_ _ _ => 27 - 2 => 25
Because, we do not get 222 & 333 case
Case 2: 4_ _ _ => 27 - 1 => 26
Because we do not g...