Question:
If a matrix has 36 elements, the number of possible orders it can have, is:
If a matrix has 36 elements, the number of possible orders it can have, is:
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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
- \( 13 \)
- \( 3 \)
- \( 5 \)
- \( 9 \)
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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:
\[
\boxed{9}
\]
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