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Question: Answered & Verified by Expert
Sets $A$ and $B$ have $n$ elements in common. How many elements will $(A \times B)$ and $(B \times A)$ have in common?
MathematicsSets and RelationsNDANDA 2009 (Phase 2)
Options:
  • A 0
  • B 1
  • C n
  • D $n^{2}$
Solution:
1933 Upvotes Verified Answer
The correct answer is: $n^{2}$
The total number of elements common in $(A \times B)$ and $(B \times A)$ is $n^{2}$

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