যদি U = {0,1,2,3,4,5,6,7,8,9}, A = {0,1,2,3,4}, B = {2,3,4,5,6,7} তাহলে U∩(A∪B)' এর মান নির্নয় করুন?

A {3,7,9}

B {2,6,8}

C {8,9}

D {0,1,5,6}

Solution

Correct Answer: Option C

U = {0,1,2,3,4,5,6,7,8,9} A = {0,1,2,3,4} , B = {2,3,4,5,6,7} (A∪B)'= U- (AUB) = U - [{0,1,2,3,4} U {2,3,4,5,6,7}] ={0,1,2,3,4,5,6,7,8,9}- {0,1,2,3,4,5,6,7} = {8,9} U∩(A∪B)'= {0,1,2,3,4,5,6,7,8,9} ∩ {8,9} ={8,9 }

Solution

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