For some particular value of N, when (a+b+c+d+1)N is expanded and like terms are combined, the resulting expression contains exactly 1001 terms that include all four variables a,b,c, and d, each to some positive power. What is N?<spanclass=′latex−bold′>(A)</span>9<spanclass=′latex−bold′>(B)</span>14<spanclass=′latex−bold′>(C)</span>16<spanclass=′latex−bold′>(D)</span>17<spanclass=′latex−bold′>(E)</span>19