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JEE Main 2017

JEE Main 2017 Mathematics question on Binomial Theorem

The value of (21C1)−(10C1)+(21C2)−(10C2)+(21C3)−(10C3)+(21C4)−(10C4)+…+(21C10)−(10C10)\binom{21}{C_1} - \binom{10}{C_1} + \binom{21}{C_2} - \binom{10}{C_2} + \binom{21}{C_3} - \binom{10}{C_3} + \binom{21}{C_4} - \binom{10}{C_4} + \ldots + \binom{21}{C_{10}} - \binom{10}{C_{10}} is
  1. A.
    221−2112^{21} - 2^{11}
  2. B.
    221−2102^{21} - 2^{10}
  3. C.
    220−292^{20} - 2^9
  4. D.
    220−2102^{20} - 2^{10}
Show answer

Correct option: D

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