Match the items of List-$I$ to the items of List-$II$:

	List-$I$		List-$II$
$(A)$	The number of ways of not selecting $(n-r)$ things from $n$ different things	$(I)$	$1+n+{ }^n C_2+\ldots+{ }^n C_r$
$(B)$	$(n-r+1) \cdot{ }^n C_{r-1}$	$(II)$	$(r+1) \cdot{ }^n C_{r+1}$
$(C)$	The number of ways of selecting at least $(n-r)$ things from $n$ different things	$(III)$	$r\left({ }^n C_r\right)$
$(D)$	$(n-r)\left({ }^{n-1} C_{r-1}+{ }^{n-1} C_r\right)$	$(IV)$	$2^n-1-n-{ }^n C_2-\ldots-{ }^n C_r$
		$(V)$	${ }^n C_{n-r}$

The correct match is:

• A

  $A$	$B$	$C$	$D$
  $V$	$III$	$IV$	$II$

• B

  $A$	$B$	$C$	$D$
  $I$	$II$	$IV$	$III$

• C

  $A$	$B$	$C$	$D$
  $V$	$III$	$I$	$II$

• D

  $A$	$B$	$C$	$D$
  $I$	$V$	$IV$	$III$