A mathcounts question The question is this.

There are $240$ pairs of numbers such as $(7,5318)$ or $(17,358)$ that can be formed using each of the digits $1$, $3$, $5$, $7$ and $8$ exactly once. What is the largest possible product of two such numbers?

Why wouldn't the answer be $87531 \times 87513$?
The answer key says $62333$.
This is a Mathcounts problem, from the $2011-2012$ handbook.

No digits can be repeated, so 87531 * 87513 is not an option. Look for a two digit $*$ 3 digit number combination
