# Counting Ordered Pairs

Probability Level 2

How many ordered pairs of integers $(x,y)$ are there, subject to $1 \leq x \leq 10, 1 \leq y \leq 10$, such that

$(x-5)(y-5) = 0?$

Details and assumptions

For an ordered pair of integers $(a,b)$, the order of the integers matter. The ordered pair $(1, 2)$ is different from the ordered pair $(2,1)$.

×