Q.

Let {D1, D2, D3, ..., Dn} be the set of third-order determinants that can be made with the distinct non-zero real numbers a1, a2, ..., a9. Then

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a

∑i=1n Di=1

b

∑i=1n Di=0

c

Di=Dj,∀i,j

d

None of these

answer is B.

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Detailed Solution

The total number of third-order determinants is 9!. The number of determinants is even and of these there are 9!/2 pairs of determinants which are obtained by changing two consecutive rows, so ∑i=1n Di=0.
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