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Math Help - combinatorical proof

  1. #1
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    combinatorical proof

    Can please someone help me with this problem:

    Prove:
    \sum_{k=1}^n \dfrac{1}{k} = \sum_{k=1}^n (-1)^{k-1} {n \choose k} \dfrac{1}{k}
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  2. #2
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    Quote Originally Posted by barcica View Post
    Can please someone help me with this problem:

    Prove:
    \sum_{k=1}^n \dfrac{1}{k} = \sum_{k=1}^n (-1)^{k-1} {n \choose k} \dfrac{1}{k}
    Off-hand I'd say there's a typo in this.
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