1.

If \(\mathop \sum \limits_{{\rm{r}} = 0}^{25} \left\{ {{}_\;^{50}{{\rm{C}}_{\rm{r}}}\cdot50 - {{\rm{r}}_{{{\rm{C}}_{25}} - {\rm{r}}}}} \right\} = {\rm{K}}\left( {{}_\;^{50}{{\rm{C}}_{25}}} \right)\), then K is equal to:

A. 252
B. 225 - 1
C. 224
D. 225
Answer» E.


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