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Math Help - Pairs in (A_n)^2

  1. #1
    Newbie Sorombo's Avatar
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    Pairs in (A_n)^2

    Let n \in \mathbb{N}. Let's definite A_n=\left \{ 1,2,\ldots , n\right \}. Let x_1<x_2<\ldots<x_n and x_i \in \mathbb{R}. Determinate the major quantity of pairs (i,j) \in A_n \times A_n with i\neq j that satisfy 1<|x_i-x_j|<2
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  2. #2
    Newbie Sorombo's Avatar
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    Re: Pairs in (A_n)^2

    does anybody know how to proceed?
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  3. #3
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    Re: Pairs in (A_n)^2

    What is a major quantity?
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