English Question （求大神们仔细讲讲诶!小弟生性愚钝,请多包涵!讲的好的讲悬赏!3Q）

English Question （求大神们仔细讲讲诶!小弟生性愚钝,请多包涵!讲的好的讲悬赏!3Q）

it isn’t cold enough for there ____ a frost tonight,so i can leave jim’s car out quite safely.
 a.to be      b.would be 
 c.being     d.was
4.there ___nobody else at hand,i had to do it by myself.
 a.being      b.was  
 c.have        d.to be
5.we have no objection to ____a meeting here.
  a.there to be     b.there being 
 c.there is    d.there having
6.i don’t expect there ____ any misunderstanding.
  a.is      b.to be 
 c.being      d.will be
7.bill was relying on ____ another chance.
  a.there to be    b.there is  
 c.there have    d.there being
16.there ______ much to be done.
 a.remain               b.remaining
 c.remains              d.to remain
注：答案我都知道,主要是想知道why,还有就是第一题到底该选什么?有的人说A,有的人说选C（本人觉得选这2个答案都有道理,请再重点讲下这道题）3Q 3Q 3Q了哈!