1.

If n is an integer greater than 1, then \[a{{-}^{n}}{{C}_{1}}(a-1){{+}^{n}}{{C}_{2}}(a-2)+....+{{(-1)}^{n}}(a-n)=\]  [IIT 1972]

A. \[a\]
B. 0
C. \[{{a}^{2}}\]
D. \[{{2}^{n}}\]
Answer» C. \[{{a}^{2}}\]


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