An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 8?

6*5/2 = 15 (total ways to paint 2 faces)

2 and 4 are the only way to have the product of 2 numbers 1-6 equal 8.

15 - 1 = 14

14 is our answer.

=^._.^=