# Choosing Integers

There are 15 (not necessarily distinct) integers chosen uniformly at random from the range from 0 to 999, inclusive. Albert then computes the sum of their units digits, while Bob computes the last three digits of their sum. The probability of them getting the same result is $$\frac mn$$, for relatively prime positive integers $$m$$ and $$n$$. Find $$10m+n$$.

×