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IIT JEE Advanced 2009 Paper 1

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Let

\Lambda

be the set of all

3 \times 3

symmetric matrices all of whose entries are either 0 or 1 . Five of these entries are 1 and four of them are 0 .

Section: Mathematics

Question : 56 of 60

Marks: +1, -0

Solution:

If two zeros are the entries in the diagonal, then we get

\,{}^{3}C_2 \times \,{}^{3}C_1

If all the entries in the principle diagonal is equal to 1, then

{}^{3}C_{1}

Hence, the total matrix is 12.

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