If ^ n C_ r denotes the number of n things taken r at a time, then the value of…

Mathematics · JEE Main · NTA ExamsPermutations and Combinations

If \({ }^{n} C_{r}\) denotes the number of n things taken r at a time, then the value of expression \({ }^{n} C_{r+1}+{ }^{n} C_{r-1}+2^{n} C_{r}\) is
  1. \(n+2 C_{n}\)
  2. \({ }^{n+2} \mathrm{C}_{r+1}\)
  3. \({ }^{n+1} \mathbf{C}_{n}\)
  4. \({ }^{n+1} \mathbf{C}_{r+1}\)

Answer

(B) ^ n+2 C _ r+1

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