The coefficient of \[{{x}^{4}}\] in the expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}})}^{n}}\] is [MNR 1993; RPET 2001; DCE 1998]

\[^{n}{{C}_{4}}{{+}^{n}}{{C}_{2}}\]

\[^{n}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}+\,{{\,}^{n}}{{C}_{4}}{{.}^{n}}{{C}_{2}}\]

\[^{n}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}+{{\,}^{n}}{{C}_{1}}.{{\,}^{n}}{{C}_{2}}\]

The coefficient of \[{{x}^{4}}\] in the expansion of \[{{(1+x+{{x}^{2}

1.	The coefficient of \[{{x}^{4}}\] in the expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}})}^{n}}\] is [MNR 1993; RPET 2001; DCE 1998]
A.	\[^{n}{{C}_{4}}\]
B.	\[^{n}{{C}_{4}}{{+}^{n}}{{C}_{2}}\]
C.	\[^{n}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}+\,{{\,}^{n}}{{C}_{4}}{{.}^{n}}{{C}_{2}}\]
D.	\[^{n}{{C}_{4}}+{{\,}^{n}}{{C}_{2}}+{{\,}^{n}}{{C}_{1}}.{{\,}^{n}}{{C}_{2}}\]
Answer» E.

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The coefficient of \[{{x}^{4}}\] in the expansion of \[{{(1+x+{{x}^{2}}+{{x}^{3}})}^{n}}\] is [MNR 1993; RPET 2001; DCE 1998]

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