The list 11,20,31,51,82 is an example of an increasing list of five positive integers in which the first and second integers add to the third, the second and third add to the fourth, and the third and fourth add to the fifth. How many such lists of five positive integers have 124 as the fifth integer?
Answer Choices
A. 10
B. 7
C. 9
D. 6
E. 8