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Number of Elements in a Cartesian Product

If A has ...

Question

If $A$ has $3$ elements and $B$ has $5$ elements then $A \times B$ has ___elements.

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Solution

We know if set A has $m$ elements and set B has $n$ elements, then total number of elements in set $A \times B$ is $m n$
Hence for given problem number of elements is, $3 \times 5 = 15$

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