If the cardinality of a set $A$ is $4$ and that of a set $B$ is $3$ , then what is the cardinality of the set $A Δ B$ ?

$1$

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$5$

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$7$

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Cannot be determined as the sets A and B are not given

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Solution

The correct option is D
Cannot be determined as the sets A and B are not given

Explanation for the correct option.
By definition of $A Δ B$ we know that it is given by: $A ∆ B = (A \cup B) - (B \cap A)$ .
Since, the elements of $A$ and $B$ are not known, the cardinality of the set $A Δ B$ cannot be determined.
Hence option D is correct.

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If the cardinality of a set A is 4 and that of a set B is 3 , then what is the cardinality of the set AΔB ?

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