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If A = {a,b,c}, B = {a,b,c,d,e}and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)

If A = {a,b,c}, B = {a,b,c,d,e} and C = {a,b,c,d,e,f}. Find (A∪B)∩(A∪C)
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  • A {a,b,c,d}
  • B {a,b,c,d,e}
  • C {a,b,c,d,e,f}
  • D {a,b,c}
  • E Φ
Correct Answer: Option B
Explanation:
A = {a, b, c}; B = {a, b, c, d, e}; C = {a, b, c, d, e, f}
(A \(\cup\) B) = {a, b, c, d, e}
(A \(\cup\) C) = {a, b, c, d, e, f}
(A \(\cup\) B) \(\cap\) (A \(\cup\) C) = {a, b, c, d, e}

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