Let N be the number of triples (x, y, z) of positive integers such that x<y<z and x y z=2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{2} \cdot 13^{2} \cdot 17^{2} \cdot 19^{2}. When N is divided by 100 , the remainder is
Answer Choices
A. 28
B. 88
C. 8
D. 68
E. 48