If \( a, b, c \) are positive real numbers such that \( a+b+c=2 \) then, which one is true? (A) ...

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If \( a, b, c \) are positive real numbers such that \( a+b+c=2 \) then, which one is true?
(A) \( (2-a)(2-b)(2-c) \geq 8 a b c \)
(B) \( \frac{1}{a}+\frac{1}{b}+\frac{1}{c} \geq 2 \)
(C) \( (2-a)(2-b)(2-c)8 a b c \)
(D) \( \frac{1}{a}+\frac{1}{b}+\frac{1}{c}=2 \)
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