Below is shown the appearance of 12 pens and 9 balls that will be numbered with different digits from 1 to 9.
In the figure, the number of the ball indicated by the writing end of each pen is greater than the number of the ball indicated by the non-writing end of the pen.
For example, in the figure above, B is greater than A.
Accordingly, what is the sum $\mathrm{A} + \mathrm{E} + \mathrm{G}$?
A) 13\\
B) 14\\
C) 15\\
D) 16\\
E) 17