Question 9

Consider the grid of points $$X = \{(m, n) : 0 &lt; m, n \le 4\}$$. We say a pair of points $$(a, b), (c, d)$$ in $$X$$ is a knight-move pair if $$(c = a \pm 2 \text{ and } d = b \pm 1)$$ or $$(c = a \pm 1 \text{ and } d = b \pm 2)$$. The number of knight-move pairs in $$X$$ is:

Correct Answer: 48

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Consider the grid of points $$X = \{(m, n) : 0 &amp;lt; m, n \le 4\}$$. We say a pair of points $$(a, b), (c, d)$$ in $$X$$ is a knight-move pair if $$(c = a \pm 2 \text{ and } d = b \pm 1)$$ or $$(c = a \pm 1 \text{ and } d = b \pm 2)$$. The number of knight-move pairs in $$X$$ is: