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Question

If A={a,b,c}, B={b,c,d} and C={a,d,c}, then (AB)×(BC) is equal to

A
{(a,c),(a,d)}
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B
{(a,b),(c,d)}
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C
{(c,a),(d,a)}
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D
{(a,c),(a,d),(b,d)}
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Solution

The correct option is A {(a,c),(a,d)}
Given that;
A={a,b,c}, B={b,c,d} and C={a,d,c}

Now, AB={a,b,c}{b,c,d}={a}
and BC={b,c,d}{a,d,c}
={c,d}

Therefore, (AB)×(BC)={a}×{c,d}
={(a,c),(a,d)}

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