Counting Ordered Pairs

Probability Level 2

How many ordered pairs of integers (x,y)(x,y) are there, subject to 1x10,1y10 1 \leq x \leq 10, 1 \leq y \leq 10 , such that

(x5)(y5)=0? (x-5)(y-5) = 0?

Details and assumptions

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


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