Binomial Coefficient Properties SE6: Find the sum of first n term of the series k^2(nCk/nCk-1)?

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Binomial Coefficient Properties SE6: Find the sum of first n term of the series k^2(nCk/nCk-1)? Support the channel:
  1. Mathsmerizing
  2. k^2(nCk/nCk-1)
  3. Binomial
  4. theorem
  5. value
  6. k12
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