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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
  nCr+2  nCr−1+  nCr−2{\;^n}{C_r} + 2{\;^n}{C_{r - 1}} + {\;^n}{C_{r - 2}} is equal to
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Correct option: D
None of these
Option D (None of these) is correct because the simplified expression is   n+2Cr{\;^{n + 2}}{C_r}, which is not among the given options.

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