# Chess

How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?

### Correct answer:

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**Mathfun**

My attempt Pick 4 out of 64, 635,376 ways

Pick 4 of the same color is 2*32*31*30*29 / 4! = 71,920

Subtract the two is ways not all 4 are same color = 563,456

Pick 4 of the same color is 2*32*31*30*29 / 4! = 71,920

Subtract the two is ways not all 4 are same color = 563,456

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