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Question

If A={a,b,c}, B={b,c,d} andC={a,d,c} then (A-B)Γ—(B∩C) 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)}


Explanation for correct option:

A={a,b,c}B={b,c,d}C={a,d,c}

To find (A-B)Γ—(B∩C)

Aβˆ’B={a,b,c}βˆ’{b,c,d}={a}

B∩C={b,c,d}∩{a,d,c}={c,d}

So,

(Aβˆ’B)Γ—(B∩C)={a}Γ—{c,d}

={(a,c),(a,d)}

Hence, the correct option is (A).


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