Suppose that R, S and T are digits and that N is the four-digit positive integer 8 R S T. That is, N has thousands digit 8 , hundreds digit R, tens digits S, and ones (units) digit T, which means that N=8000+100 R+10 S+T. Suppose that the following conditions are all true:
- The two-digit integer 8 R is divisible by 3.
- The three-digit integer 8 R S is divisible by 4.
- The four-digit integer 8 R S T is divisible by 5.
- The digits of N are not necessarily all different.
The number of possible values for the integer N is
Answer Choices
A. 8
B. 16
C. 12
D. 10
E. 14