Consider the set \( A \) of all determinants of order 3 with entries 0 or 1 only. Let \( B \) be...

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Consider the set \( A \) of all determinants of order 3 with entries 0 or 1 only. Let \( B \) be the subset of \( A \) consisting of all determinants with value 1 . Iet \( C \) be the subset of \( A \) consisting of all determinants with value \( -1 \). Then,           
(a) \( C \) is empty
(b) \( B \) has as many elements as \( C \)
(c) \( A=B \cup C \)
(d) \( B \) has twice as many elements as \( C \)
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