There are two ways of choosing six different numbers from the list 1,2,3,4,5,6,7,8,9 so that the product of the six numbers is a perfect square. Suppose that these two perfect squares are m^2 and n^2, with m and n positive integers and m\ne n. What is the value of m+n?
Answer Choices
A. 108
B. 11
C. 61
D. 56
E. 144