Given the list 2,3,4,5, there are exactly three different ways to choose three integers from the list and form a triangle whose side lengths are equal to those integers. The integers chosen could be 2,3,4 or 2,4,5 or 3,4,5. The integers 2,3,5 cannot be used as side lengths of a triangle. Given the list 4,10,3, n, 13, there are exactly four different ways to choose three integers from the list and form a triangle whose side lengths are equal to those integers. If n is different from all other numbers in the list, then the sum of all possible values of n is
Answer Choices
A. 46
B. 29
C. 69
D. 23
E. 17