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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 14, 2021
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You can paint it the following number of ways:

 

(3 and 1),  (1 and 3),  (2 and 1),  (1 and 2) ==4 different ways.

 Jun 15, 2021

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