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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)`

A

`2^(24)`

B

`2^(25)-1`

C

`2^(25)`

D

`(25)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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