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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?

 Jun 12, 2021
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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

 Jun 12, 2021

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