$A, B, C$ are any three events. If $P (S)$ denotes the probability of $S$ happening then $P\,(A \cap (B \cup C)) = $

  • A

    $P(A) + P(B) + P(C) - P(A \cap B) - P(A \cap C)$

  • B

    $P(A) + P(B) + P(C) - P(B)\,P(C)$

  • C

    $P(A \cap B) + P(A \cap C) - P(A \cap B \cap C)$

  • D

    None of these

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  • [JEE MAIN 2017]