$D$
If $a$ divides $b$$\Rightarrow a\,\,|\,\,b\Rightarrow \,b=a*c$ for some integer $c$
$n$ divides $\begin{pmatrix} n \\ i \end{pmatrix}$, for all $ i \in \{1, 2, \dots , n-1\}$
take $n$=even,
say $n=6,i=2$,
$\binom{6}{2}=15$
$15\neq c*6$ for any $c$.
Hence $D$ false.
Even in the answer key,it is the answer