Question

If the number of elements in a matrix is $60$, then how many different order of matrix are possible?

• A. $12$
• B. $6$
• C. $24$
• D. none of these

Answer 1

Answer: (A)

$12$

Number of elements in the matrix is $60$

$60=2^2\cdot 3\cdot 5$

No of factors $=12$

Possible orders are $1\times 60,60\times 1,2\times 30,30\times 2,3\times 20,20\times 3,4\times 15,15\times 4,5\times 12,12\times 5,6\times 10,10\times 6$

Total $12$ possible orders.

Hence, option A.