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Question

If A = {a, b, c, d, e} and C B = {1, 2, 3, 4}, then (A B) (A C) is

A
{a, b, c, d, e}
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B
{1, 2, 3, 4}
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C
{a, b, c, d, e, 1, 2, 3, 4}
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D
Null set
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Solution

The correct option is C {a, b, c, d, e, 1, 2, 3, 4}

(AB)(AC)=A(BC)=A(CB)[BC=CB]
= {a,b,c,d,e} U {1,2,3,4} = {a,b,c,d,e,1,2,3,4}
So, option C is correct.

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