Question

If $A = \{ a , b \} , B = \{ c , d \} , C = \{ d , e \}$ then

$\{ ( a , c ) , ( a , d ) , ( a , e ) , ( b , c ) , ( b , d ) , ( b , e ) \}$ is equal to

• A. A∩ (B∪C)
• B. A∪ (B∩C)
• C. A × (B∪C)
• D. A × (B∩C)

Answer 1

Answer: (C)

A × (B∪C)

Answer 2

B ∪ C = {c, d} ∪ (d, e} = {c, d, e}

$\therefore$ A × (B ∪ C) = {a, b} × {c, d, e} = {(a, c), (a, d), (a, e),

(b, c), (b, d), (b, e)}.