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Question

If 25r=0{ 50Cr 50rC25r}=K( 50C25) then K is equal to :

A
252
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B
224
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C
2251
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D
225
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Solution

The correct option is D 225
25r=0 50Cr 50rC25r
=25r=050!r!(50r)!×(50r)!25!(25r)!
=25r=050! 25!r! (25r)! 25! 25!
= 50C2525r=0 25Cr
= 50C25×225
Hence, K=225

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