Question:
If two sets A and B are having 11 elements in common, then the number of elements common to $A\times B$ and $B\times A$ is:
If two sets A and B are having 11 elements in common, then the number of elements common to $A\times B$ and $B\times A$ is:
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$(A \times B) \cap (B \times A) = (A \cap B) \times (B \cap A)$.
Updated On: Apr 28, 2026
- 121
- 22
- 99
- 11
- 33
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Concept
If $n(A \cap B) = k$, then the number of elements common to $(A \times B)$ and $(B \times A)$ is given by $k^2$.
Step 2: Analysis
Given $k = 11$ (elements in common).
Step 3: Calculation
Number of common elements $= 11^2 = 121$. Final Answer: (A)
If $n(A \cap B) = k$, then the number of elements common to $(A \times B)$ and $(B \times A)$ is given by $k^2$.
Step 2: Analysis
Given $k = 11$ (elements in common).
Step 3: Calculation
Number of common elements $= 11^2 = 121$. Final Answer: (A)
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