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Statement 1 - If set $$A$$ has $$m$$ elements and set $$B$$ has $$n$$ elements then $$A \times B$$ has $$mn$$ elements.<br>Statement 2 - If $$A$$ has 5 elements and $$B$$ has 6 elements then the number of one-one functions from $$A$$ to $$B$$ is 6.
$$A \times B$$ consists of all ordered pairs $$(x, y)$$ with $$x \in A$$, $$y \in B$$, so it has $$mn$$ elements and Statement 1 is true. The number of one-one functions from a 5-element set to a 6-element set is $$6 \times 5 \times 4 \times 3 \times 2 = 720$$, not 6, so Statement 2 is false. Hence options a and d are both correct.
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