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Interesting problem on combinatorics.

Let's represent each face of a cube as a bit which can either be a 0 (representing

Photo of a Dog) or 1 (Representing Photo of a Cat)

Write down all the possible 6 digit bit patterns, strike out those patterns

1. With more than Two 0's in them (Because there are only two photos of dogs)

2. With more than Four 1's in them (Because there are only four photos of cats)

Essentially keep only the bit patterns with exactly two 0's and Four 1's and count

them. This gives Fourteen different ways you can arrange them.

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