若某个特殊的正整数$$N$$使得$$(a+b+c+d+1)^{}N$$ 的展开式中，合并同类项后发现同时含有 $$a$$, $$b$$, $$c$$, and $$d$$四个变量正整数乘幂的项恰好有$$1001$$项，求$$N$$的值？  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 $$N$$?
选项为:A:$$9$$  B:$$14$$  C:$$16$$  D:$$17$$  E:$$19$$  请回答其中一个选项.