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Given P = {a, b} and Q = {1, 2}, the cartesian product P × Q is
A{(1, a), (1, b), (2, a), (2, b)}
B{a, b, 1, 2}
C{(a, b), (1, 2)}
D{(a, 1), (b, 1), (a, 2), (b, 2)}
Answer & Solution
Correct answer: D. {(a, 1), (b, 1), (a, 2), (b, 2)}
P × Q is the set of ordered pairs (p, q) with p ∈ P and q ∈ Q. Order matters; P × Q ≠ Q × P in general.
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