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

If `sum_(r=0)^(25)(""^(50)C_( r ))(""^(50-r)C_(25-r))=k(""^(50)C_(25))` then k is equal to

A

`25)^(2)`

B

`2^(25)-1`

C

`2^(24)`

D

`2^(25)`

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The correct Answer is:
D
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