Question

Assertion :$1,2,3$ and $4$ are four numbers. Then $72$ matrices can be made using all four numbers Reason: If the numbers of rows is equal to the number of columns, then it is called a matrix

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is C Assertion is correct but Reason is incorrect

Number of matrices of the form $1\times 4$ is $4!,4\times 1$ is $4!$ and $2\times 2$ is $4!$

So, the total number of matrices $=4!+4!+4!=72.$

Only Statement $1$ is true.

Statement $2$ is false.