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Tell me? - Sets, Relations and Functions - JEE Main-9

If U is the universal set,n(A)=50,n(B)=60 and n(A\capB)=30. Total elements in universal set are 200. Find n\left ( A\cup B \right ){}'

  • Option 1)

    80

  • Option 2)

    100

  • Option 3)

    120

  • Option 4)

    140

 
Answers (1)
104 Views

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) = n (A) + n (B) – n (A ∩ B)

               =50+60-30=80

n (A \cup B){}'=200-80=120


Option 1)

80

Option 2)

100

Option 3)

120

Option 4)

140

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