Question:

If a matrix has 36 elements, the number of possible orders it can have, is:

Show Hint

To find the number of possible orders for a matrix, factorize the total number of elements into all possible integer pairs.
Updated On: Jan 27, 2025
  • \( 13 \)
  • \( 3 \)
  • \( 5 \)
  • \( 9 \)
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

Step 1: Factorize the total number of elements. The total number of elements is 36, which can be expressed as the product of two integers: \[ 36 = 1 \times 36, 2 \times 18, 3 \times 12, 4 \times 9, 6 \times 6, 9 \times 4, 12 \times 3, 18 \times 2, 36 \times 1 \] Step 2: Count the possible pairs. The total number of distinct possible orders is 9. Final Answer: \[ \boxed{9} \]
Was this answer helpful?
0
0