If n C r denotes the number of combinations of n things taken r at a time, then the…

Mathematics · JEE Advanced · NTA ExamsPermutations and Combinations

If nCr denotes the number of combinations of n things taken r at a time, then the expression
nCr + 1 + nCr – 1 + 2 × nCr equals
  1. n + 2Cr + 1
  2. n + 1Cr
  3. n + 1Cr + 1
  4. n + 2Cr

Answer

(A) n + 2 C r + 1

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