Permutations And Combinations

\(\text { Match the items of List-I to the items of List-II }\)

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List-I		List-II
(A)	The number of ways of not selecting ( $n-r$ ) things from $n$ different things	(I)	$1+{ }^n C_1+{ }^n C_2+\ldots+{ }^n C_r$
(B)	$\quad(n-r+1) \cdot{ }^n C_{r-1}$	(II)	$(r+1) \cdot{ }^n C_{r+1}$
(C)	The number of ways of selecting atleast ( $n-r$ ) things from $n$ different things	(III)	$r \cdot{ }^n \mathrm{C}$,
(D)	$(n-r)\left({ }^{(n-1)} C_{r-1}+{ }^{(n-1)} C_r\right)$	(IV)	$$ \begin{aligned} & 2^n-1-n- \\ & { }^n C_2-\ldots-{ }^n C_r \end{aligned} $$
		(V)	${ }^n C_{n-1}$