Consider the following statements:
1. If P = {m, n} and Q = {n, m}, then P × Q = {(m, n), (n ,m)}.
2. If A and B are non-empty sets, then A × B is a non-empty set of ordered pairs (x, y) such that x ∈ A and y ∈ B.
3. If A = {1, 2}, B = {3, 4}, then A × (B ⋂ ϕ) = ϕ.
Which of the above statements is/are correct?
1
1 and 2 only
2
2 and 3 only
3
1 and 3 only
4
1, 2 and 3
5
Not Attempted