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Math Help - Prove result for binomial coefficients?

  1. #1
    Super Member fardeen_gen's Avatar
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    Prove result for binomial coefficients?

    Prove that:

    \left(\sqrt{n\choose 1} + \sqrt{n\choose 2} + \mbox{...} + \sqrt{n\choose n}\right)^2 \leq n\cdot (2^n - 1).
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  2. #2
    AMI
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    Use the Cauchy–Schwarz inequality.
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