Exams › JEE Advanced › Maths
Let A = {1, 2, 3, 4, 5} and B = {2, 3, 6, 7}. Find the number of elements in (A x B) ∩ (B x A).
- 18
- 6
- 4
- 0
Correct answer: 4
Solution
A ∩ B = {2, 3}. The set (A x B) ∩ (B x A) consists of all pairs (x, y) where x and y both belong to A ∩ B = {2, 3}. The number of such pairs = |A ∩ B|² = 2² = 4.
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