<p>●Ex. 17 If A = {2, 3}, B = {4, 5} and C = {5, 6}, then n{(A × B) ∪ (B × C)} is</p>
Step-by-Step Solution
Key Concept: Find the Cartesian products A × B and B × C separately, then compute their union and count the elements.
<p><strong>Solution:</strong></p><p>A × B = {2, 3} × {4, 5} = {(2, 4), (2, 5), (3, 4), (3, 5)}</p><p>B × C = {4, 5} × {5, 6} = {(4, 5), (4, 6), (5, 5), (5, 6)}</p><p>(A × B) ∪ (B × C) = {(2, 4), (2, 5), (3, 4), (3, 5), (4, 5), (4, 6), (5, 5), (5, 6)}</p><p>n{(A × B) ∪ (B × C)} = 8</p>
Correct Answer: 8