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  • 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}, isOption: 1 <img alt="10^{9}" src="htt

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

Option: 1

10^{9}


Option: 2

10^{6}


Option: 3

9^{10}


Option: 4

6^{10}


Answers (1)

best_answer

A=\left[\begin{array}{lll} \mathrm{a} & \mathrm{b} & \mathrm{c} \\ \mathrm{b} & \mathrm{d} & \mathrm{e} \\ \mathrm{c} & \mathrm{e} & \mathrm{f} \end{array}\right], \mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d}, \mathrm{e}, \mathrm{f} \in\{0,1,2, \ldots .9\}, \text { Number of matrices }=10^6

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shivangi.bhatnagar

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