The coefficient of \[{{x}^{5}}\] in the expansion of \[{{(1+x)}^{21}}+{{(1+x)}^{22}}+..........+{{(1+x)}^{30}}\] is [UPSEAT 2001]

\[^{30}{{C}_{5}}{{+}^{20}}{{C}_{5}}\]

\[^{31}{{C}_{6}}{{-}^{21}}{{C}_{6}}\]

The coefficient of \[{{x}^{5}}\] in the expansion of \[{{(1+x)}^{21}}+

1.	The coefficient of \[{{x}^{5}}\] in the expansion of \[{{(1+x)}^{21}}+{{(1+x)}^{22}}+..........+{{(1+x)}^{30}}\] is [UPSEAT 2001]
A.	\[^{51}{{C}_{5}}\]
B.	\[^{9}{{C}_{5}}\]
C.	\[^{31}{{C}_{6}}{{-}^{21}}{{C}_{6}}\]
D.	\[^{30}{{C}_{5}}{{+}^{20}}{{C}_{5}}\]
Answer» D. \[^{30}{{C}_{5}}{{+}^{20}}{{C}_{5}}\]

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The coefficient of \[{{x}^{5}}\] in the expansion of \[{{(1+x)}^{21}}+{{(1+x)}^{22}}+..........+{{(1+x)}^{30}}\] is [UPSEAT 2001]

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