question_answer

Let \[\{{{D}_{1}},{{D}_{2}},{{D}_{3}},......,{{D}_{n}}\}\]be the set of third order determinants that can be made with the distinct non-zero real numbers \[{{a}_{1}},{{a}_{2}},.....,{{a}_{9}}\], then

A)  \[\sum\limits_{i=1}^{n}{{{D}_{i}}=1}\]         

B)  \[\sum\limits_{i=1}^{n}{{{D}_{i}}=0}\]

C)  \[{{D}_{i}}={{D}_{j}}\forall i,j\]         

D)  None of these