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Fundamental Principle of Counting

The number of...

Question

The number of way of selecting two squares on chess board such that they have a side in common is

A

224

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B

112

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C

56

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D

68

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Solution

The correct option is B 112
$\frac{1}{2} (4 \times 2 + 24 \times 3 + 36 \times 4) = 112$

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