\[{{C}_{0}}-{{C}_{1}}+{{C}_{2}}-{{C}_{3}}+.....+{{(-1)}^{n}}{{C}_{n}}\] is equal to [MNR 1991; RPET 1995; UPSEAT 2000]

\[{{C}_{0}}-{{C}_{1}}+{{C}_{2}}-{{C}_{3}}+.....+{{(-1)}^{n}}{{C}_{n}}\

1.	\[{{C}_{0}}-{{C}_{1}}+{{C}_{2}}-{{C}_{3}}+.....+{{(-1)}^{n}}{{C}_{n}}\] is equal to [MNR 1991; RPET 1995; UPSEAT 2000]
A.	\[{{2}^{n}}\]
B.	\[{{2}^{n}}-1\]
C.	0
D.	\[{{2}^{n-1}}\]
Answer» D. \[{{2}^{n-1}}\]

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\[{{C}_{0}}-{{C}_{1}}+{{C}_{2}}-{{C}_{3}}+.....+{{(-1)}^{n}}{{C}_{n}}\] is equal to [MNR 1991; RPET 1995; UPSEAT 2000]

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