If \( x y z=(1-x)(1-y)(1-z) \) where \( 0 \leq x, y, z \leq 1 \), then the minimum value of \( x...

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If \( x y z=(1-x)(1-y)(1-z) \) where \( 0 \leq x, y, z \leq 1 \), then the minimum value of \( x(1-z)+y(1-x)+z(1-y) \) is :
(a) \( \frac{3}{2} \)
(b) \( \frac{1}{4} \)
(c) \( \frac{3}{4} \)
(d) \( \frac{1}{2} \)
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