问一道关于entry和entrance的初三英语题

The leader of the party was examing the soil near _______ the cave.
A.the entry to B.the entry of
C.the entrance to D.the entrance of

答案上说是D 但我不明白：
1.entry和entrance的区别
2.the entry/entrance to和the entry/entrance of 这四个的区别
麻烦准确且详细地解释 谢谢了。

我怎么觉得选C呢
看来得去补语法了

解释如下：

都有‘入场’‘入口’的意思，都是名词

但entry有‘进入权’‘参赛作品’的意思，或者是‘登记’‘词条’的意思
相比之下entrance的意思就比较单一了
entry
来自entrer的过去分词
[5entrI]
n
entries
进入
a street with a ‘No Entry’ sign
有“不得进入”标志的街道
入场权
项目
This music film is Mrs Wilson's entry in the competition.
这部音乐片是威尔森夫人的参赛作品。
竞赛参加者

entry
[5ZntrI;5entri]
项(目),表目;入口;输入;〔登录;款目;进口;入口〕
In programming languages, a language construct within a procedure, designating the start of execution sequences of the procedure. Note: A procedure may have more than one entry; each entry usually includes an identifier, called the entry name, and may include formal parameters.
在程序设计语言中,过程内部的一种语言结构,用于指明该过程的执行序列的开始。注:一个过程可以有多个入口,通常每个入口包括一个称为入口名的标识符,还可能包括一些形式参数。
Any consecutive set of descriptive clauses terminated by a period, written in the identification, environment, or procedure divisions of a COBOL program.