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if sum(r=0)^(25).^(50)C(r)(.^(50-r)C(25-...

if `sum_(r=0)^(25).^(50)C_(r)(.^(50-r)C_(25-r))=k(.^(50)C_25)`, then k equals: (a) `2^(25)` (b) `2^(25)-1` (c) `2^(24)` (d) `25^(2)`

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