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Standard Results from Multiplication of Two Binomial Expansion

  1. mCr + mCr–1 . nC1 + mCr–2 . nC2 + ... + nCr = m+nCr, where r < m, r < n, and m, n, r are +ve integers.
  2. nC02 + nC12 + ... + nCn2 = 2nCn.
  3. C02C12 + C22 ... (–1)n Cn2
     
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