If $$a, b, m$$ and $$n$$ are distinct positive integers such that $$a^m = b^n$$, then what is the value of $$a + b + m + n$$
I. Each of $$a, b, m$$ and $$n$$ is less than 10.
II. $$b^n = 81.$$

A

if the statement I alone is sufficient to answer the question.

B

if the statement II alone is sufficient to answer the question.

C

if both the statements I and II are sufficient to answer the question but neither statementaloneis not sufficient.

D

if both the statements I and II together are not sufficient to answer the question and additional data is required.