In the expansion of the following expression\[1+(1+x)+\]\[{{(1+x)}^{2}}+.....+{{(1+x)}^{n}}\]the coefficient of \[{{x}^{k}}(0\le k\le n)\] is [RPET 2000]

In the expansion of the following expression\[1+(1+x)+\]\[{{(1+x)}^{2}

1.	In the expansion of the following expression\[1+(1+x)+\]\[{{(1+x)}^{2}}+.....+{{(1+x)}^{n}}\]the coefficient of \[{{x}^{k}}(0\le k\le n)\] is [RPET 2000]
A.	\[^{n+1}{{C}_{k+1}}\]
B.	\[^{n}{{C}_{k}}\]
C.	\[^{n}{{C}_{n-k-1}}\]
D.	None of these
Answer» B. \[^{n}{{C}_{k}}\]

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In the expansion of the following expression\[1+(1+x)+\]\[{{(1+x)}^{2}}+.....+{{(1+x)}^{n}}\]the coefficient of \[{{x}^{k}}(0\le k\le n)\] is [RPET 2000]

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