1. Tardigrade
  2. Question
  3. Mathematics
  4. Let A = 1, 2, 3, 4, 5; B = 2, 3, 6, 7. Then the number of elements in (A × B) ∩ (B × A) is

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Q. Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in $(A × B) \cap (B × A)$ is

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Solution:

Here A and B sets having 2 elements in common, so $A × B$ and $B × A$ have $2^{2}$ i.e., 4 elements in common. Hence, $n\left[\left(A × B\right) \cap \left(B × A\right)\right] = 4$