Question

If P = {m, n} and Q = { n, m}, then P x Q={(m, n), (n, m)}. State whether the statement is True (or) False And Justify it

Answer 1

no it is wrong. because. p×q ={(m,n)(m,m)(n,n)(n,m) hope ur help

Answer 2

Given, P = {m, n }
so, number of elements in P , n(P) = 2
and Q = {n, m}
so, number of elements in Q , n(Q) = 2

now, number of elements in n(P × Q) = n(P) × n(Q) = 2 × 2 = 4
and also P × Q = {(m, n), (m, m), (n, n), (n, m)}

here it is clear that {(m, n), (m, m), (n, n), (n, m)} ≠ {(m, n), (n, m)}

so, P × Q ≠ {(m, n), (n, m)}
hence, the given statement is false.