MathNet 2011 Question 36

How many positive 10-digit integers $abcdefghij$ have all digits different and satisfy $a+j=b+i=c+h=d+g=e+f=9$?
Note: a number cannot start with 0.
(A) 3456; (B) 3528; (C) 3645; (D) 3840; (E) 5040.