Question

A matrix has $18$ elements. Find the number of possible orders of the matrix

• A. $5$
• B. $6$
• C. $4$
• D. $7$

Answer 1

Answer: (B)

$6$

A matrix of $m$ rows and $n$ columns has $m\times n$ elements.
$18$ can be got by all combinations of $1\times 18,18\times 1,2\times 9,9\times 2,3\times 6,6\times 3$
Hence, there are $6$ possible matrices which have $18$ elements.