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  • Can someone explain - Sets, Relations and Functions - JEE Main-13

Given that n\left ( A\cup B \right )= 100,n\left ( A\cap B \right )= 20,n\left ( A \right )= 50\: \: and\: \: n\left ( U \right )= 150.\: \: Find\: \; n\left ( A'\cup B' \right )

  • Option 1)

    90

  • Option 2)

    110

  • Option 3)

    130

  • Option 4)

    150

 

Answers (1)

best_answer

As we learnt

 

Number of Elements in Union A & B -

 

n (A ∪ B) = n (A) + n (B) – n (A ∩ B)

- wherein

Given A and B be any finite sets. then Number of Elements in union A & B is given by this formula.

 

 

n (A ∪ B)=100=50+n(B)-20\Rightarrown(B)=70

n\left ( A{}'\cup B{}' \right )= n\left ( A\cap B \right ){}'= 150-20=130


Option 1)

90

Option 2)

110

Option 3)

130

Option 4)

150

Posted by

Himanshu

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