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Find the number ordered pairs (x ,y)ifx ...

Find the number ordered pairs `(x ,y)ifx ,y in {0,1,2,3, , 10}a n dif|x-y|> 5.`

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The correct Answer is:
30

When `x-y gt 5`, we have following cases :

Similarly, we have 15 cases for `x-y lt -5` . Thus, there are 30 pairs.
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