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 4?
6 C 2 = 15 ways to paint two faces
only ONE way to paint faces resulting in a product of 4 (...paint the 1 and the 4)
15 -1 = 14 ways to paint two faces that do not result in painted faces = 4