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 6?
There are 6 x 5 = 30ways to paint the die and two of the ways 5+1 and 2+4 equal 6, so there are 30 - 2 = 28 ways to paint the die