Question 15
Using each of the eight digits $1, 3, 4, 5, 6, 7, 8$ and $9$ exactly once, a three-digit number $A$, two two-digit numbers $B$ and $C$, $B \lt C$, and a one-digit number $D$ are formed. The numbers are such that $A + D = B + C = 143$. In how many ways can this be done?