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Difference of Two Sets

If A and ...

Question

If $A$ and $B$ be two sets such that $n (A) = 15, n (B) = 25$ , then number of elements (symmetric difference of $A$ and $B$ )

31

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16

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26

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40

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Solution

The correct option is D $40$
We have given that
$n (A) = 15$
$n (B) = 25$
Then,
The number of elements $(s y m m e t r i c d i f f e r e n c e o f A a n d B)$ $= n (A) + n (B)$
$= 15 + 25$
$= 40$
Hence, the option $(D)$ is correct.

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n (A Δ B)

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If A and B are two sets such that n (A) = 20, n(B) = 25 and $n (A \cup B)$ = 40, then write $n (A \cap B)$ .

A

B

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n (A \cap B) = 8

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