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Question

Let A be the set of all 3×3 symmetric matrices all of whose entries are either 0 or 1. Five of these entries are 1 and four of them are 0.
The number of matrices in A is

A
12
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B
6
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C
9
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D
3
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Solution

The correct option is A 12
If two zeros are the entries in the diagonal, then
3C2×3C1
If all the entries in the principle diagonal is 1, then
3C1
Total matrix =12.

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