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Question: If\(n ( A ) = 3\), \(n ( B ) = 6\) and \(A \subseteq B\) .Then the number of elements in \(A \cu...

Ifn(A)=3n ( A ) = 3, n(B)=6n ( B ) = 6 and ABA \subseteq B .Then the number of elements in ABA \cup B is equal to.

A

3

B

9

C

6

D

None of these

Answer

6

Explanation

Solution

Since AB,AB=BA \subseteq B , \therefore A \cup B = B .

So, n(AB)=n(B)=6n ( A \cup B ) = n ( B ) = 6.