Let \ell_{A} and \ell_{B} be two distinct parallel lines. For positive integers m and n, distinct points A_{1}, A_{2}, A_{3}, \ldots, A_{m} lie on \ell_{A}, and distinct points B_{1}, B_{2}, B_{3}, \ldots, B_{n} lie on \ell_{B}. Additionally, when segments \overline{A_{i} B_{j}} are drawn for all i=1,2,3, \ldots, m and j=1,2,3, \ldots, n, no point strictly between \ell_{A} and \ell_{B} lies on more than 1 of the segments. Find the number of bounded regions into which this figure divides the plane when m=7 and n=5. The figure shows that there are 8 regions when m=3 and n=2
