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Sets A and B ...

Question

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

A

3

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B

6

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C

9

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D

18

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Solution

The correct option is B
6

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

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

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

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