The number of $3 \times 3$ non-singular matrices, with four entries as 1 and all other entries as 0 , is

The number of $3 \times 3$ non-singular matrices, with four entries as 1 and all other entries as 0 , is
  1. 5
  2. 6
  3. at least 7
  4. less than 4

Solution

First row with exactly one zero; total number of cases $=6$ First row 2 zeros we get more cases Total we get more than 7 .

Asked in: JEE Main 2010

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