Q

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

If U is the universal set,n(A)=50,n(B)=60 and n(A$\cap$B)=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

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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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