Sum of Binomial Coefficients of Odd Numbered Terms
The sum of co...
Question
The sum of coefficients of intergral power of x in the binomial expansion (1−2√x)50is:
A
12(350−1)
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B
12(250+1)
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C
12(350+1)
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D
12(350)
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Solution
The correct option is C12(350+1) (1+2√x)50=50C0+50C12√x+50C2(2√x)2...(1)(1−2√x)50=50C0+50C12√x−50C2(2√x)2+50C3(2√x)3−50C4(2√x)4...(2)Adding equation (1)and (2)(1+2√x)50+(1−2√x)50=2[50C0+50C222x+50C423x2+...]Putting x=1, we get above as 350+12