যদি A = {1, 2, 3}, B = {3, 5} এবং C= {4, 5, 6} হয়, তবে (A × B)∩(B × C) = কত হবে?

প্রশ্ন: যদি A = {1, 2, 3}, B = {3, 5} এবং C= {4, 5, 6} হয়, তবে (A × B)∩(B × C) = কত হবে?

সমাধান:
দেয়া আছে,
A = {1, 2, 3},
B= {3, 5} এবং
C ={4, 5, 6}

A × B = {1, 2, 3} × {3, 5} = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 3), (3, 5)}
B × C = {3, 5} ×{4, 5, 6} = {(3, 4), (3, 5), (3, 6), (5, 4), (5, 5), (5, 6)}

(A × B) ∩ (B × C ) = {(1, 3), (1, 5), (2, 3), (2, 5), (3, 3), (3, 5)} ∩ {(3, 4), (3, 5), (3, 6), (5, 4), (5, 5), (5, 6)}
= {(3,5)}