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Let A be the set of all 3 xx 3 symmetri...

Let A be the set of all `3 xx 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

B

6

C

9

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
If two zero's are theentries in the diagonal, then
`""^(3)C_(2)xx ""^(3)C_(1) = 9`
If the entries in the prinicpal diagonal is 1, then
` ""^(3)C_(1) = 3`
`rArr ` Total matrix` = 9 + 3 = 12`
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