Arrow \(AB\) which is a line segment of exactly \(5\) units along with an arrowhead at \(A\) is to be constructed in the \(xy\)-plane. The \(x\) and \(y\) coordinates of \(A\) and \(B\) are to be integers that satisfy the inequalities \(0 \le x \le 9\) and \(0 \le y \le 9.\) How many different arrows with these properties can be constructed?

A. 50
B. 168
C. 200
D. 368
E. 536

Answer: E

Source: Manhattan GMAT