Sets A and B have 3 and 6 elements respectively. What can be the minimum number

Question

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in (A U B )

Options:

A . 3

B . 6

C . 9

D . 18

Answer: Option B
:
B
n(A

\cup

B) = n(A) + n(B) - n(A

\cap B

) = 3 + 6 - 1

(A \cap B)

Since maximum number of elements in A

\cap

B = 3

∴

Minimum number of elements in A

\cup

B = 9 - 3 = 6 .

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