Question:
If (1, 3), (2, 5) and (3, 3) are three elements of A × B and n (A × B) = 6, then the remaining three elements of are __________.
Solution:
Given (1, 3), (2, 5) and (3, 3) ∈ A × B and n (A × B) = 6
According to given collection,
A = {1, 2, 3} (since from (x, y) x∈A and y∈B )
and B = {3, 5}
i.e A × B = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 3), (3, 5)}
i.e Remaining elements of A × B are (1, 5) (2, 3) and (3, 5)