Let $$x$$ denote the total number of one-one functions from a set $$A$$ with 3 elements to a set $$B$$ with 5 elements and $$y$$ denote the total number of one-one functions from the set $$A$$ to the set $$A \times B$$. Then:

Set $$A$$ has 3 elements and set $$B$$ has 5 elements. The number of one-one functions from $$A$$ to $$B$$ is $$x = P(5, 3) = 5 \times 4 \times 3 = 60$$.

The set $$A \times B$$ has $$3 \times 5 = 15$$ elements. The number of one-one functions from $$A$$ (3 elements) to $$A \times B$$ (15 elements) is $$y = P(15, 3) = 15 \times 14 \times 13 = 2730$$.

Now we check the ratio: $$\frac{2y}{x} = \frac{2 \times 2730}{60} = \frac{5460}{60} = 91$$.

Therefore, $$2y = 91x$$.