JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
The number of symmetric matrices of order \(3\), with all the entries from the set \(\{0,1,2,3,4,5,6,7,8,9\}\), is :
- A \(6^{10}\)
- B \(9^{10}\)
- C \(10^9\)
- D \(10^6\)
Answer & Solution
Correct Answer
(D) \(10^6\)
Step-by-step Solution
Detailed explanation
\(A=\left[\begin{array}{lll} a & b & c \\ b & d & e \\ c & e & f \end{array}\right], a , b , c , d , e , f \in\{0,1,2, \ldots .9\}\) Number of matrices \(=10^6\)
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