Question

The possible orders of a matrix containing $24$ elements are

• A. 5
• B. 7
• C. 8
• D. 9

Answer 1

The correct option is C 8

As we know that if a matrix is of the order $m\times n$, it has $mn$ elements.

Given that the matrix has $24$ elements.

Therefore, the possible ordered pairs of matrix are-

$1\times 24=24$

$2\times 12=24$

$3\times 8=24$

$4\times 6=24$

$6\times 4=24$

$8\times 3=24$

$12\times 2=24$

$24\times 1=24$

Therefore,

The number of ordered pairs are $8$.

Hence the correct answer is $8$.