The integers 2,2,5,5,8, and 9 are written on six cards, as shown. Any number of the six cards is chosen, and the sum of the integers on these cards is determined. Note that the integers 1 and 30 cannot be obtained as sums in this way. How many of the integers from 1 to 31 cannot be obtained as sums?
Answer Choices
A. 4
B. 22
C. 8
D. 10
E. 6
