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Discussion

If A = {1, 2, 3} and B = {a, b}, find the number of elements in the Cartesian product A × B.

  • A.5
  • B.6
  • C.8
  • D.9

Answer: B

The Cartesian product A × B is the set of all ordered pairs (x, y) such that x ∈ A and y ∈ B.

The number of elements in the Cartesian product is given by n(A × B) = n(A) × n(B).

Here, n(A) = 3 and n(B) = 2.

n(A × B) = 3 × 2 = 6.

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