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Question

Mathematics Question on Sets

Set AA and BB have 33 and 66 elements respectively. What can be the minimum number of elements in ABA \cup B ?

A

18

B

9

C

6

D

3

Answer

6

Explanation

Solution

Given, n(A)=3n\left(A\right)=3 and n(B)=6n \left(B\right)=6 \therefore min (AB)=n(B)=6\left(A \cup B\right)=n \left(B\right)=6