The numbers 1,2,3,4,5 are to be arranged in a circle. An arrangement is bad if it is not true that for every n from 1 to 15 one can find a subset of the numbers that appear consecutively on the circle that sum to n. Arrangements that differ only by a rotation or a reflection are considered the same. How many different bad arrangements are there?
Answer Choices
A. 1
B. 2
C. 3
D. 4
E. 5