1.

The coefficient of \[{{x}^{m}}\] in \[{{(1+x)}^{m}}+{{(1+x)}^{m+1}}+......+{{(1+x)}^{n}},m\le n\] is

A. \[^{n+1}{{C}_{m+1}}\]
B. \[^{n-1}{{C}_{m-1}}\]
C. \[^{n}{{C}_{m}}\]     
D. \[^{n}{{C}_{m+1}}\]
Answer» B. \[^{n-1}{{C}_{m-1}}\]


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