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JEE Math Practice Question

If $${}^n{C_r}$$ denotes the number of combination of n things taken r at a time, then the expression $$\,{}^n{C_{r + 1}} + {}^n{C_{r - 1}} + 2\, \times \,{}^n{C_r}$$ equals

  1. A.$$\,{}^{n + 1}{C_{r + 1}}$$
  2. B.$${}^{n + 2}{C_r}$$
  3. C.$${}^{n + 2}{C_{r + 1}}$$
  4. D.$$\,{}^{n + 1}{C_r}$$

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