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Question

The sum of coefficients of intergral power of x in the binomial expansion (12x)50is:

A
12(3501)
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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 C 12(350+1)
(1+2x)50=50C0+50C12x+50C2(2x)2...(1)(12x)50=50C0+50C12x50C2(2x)2+50C3(2x)350C4(2x)4...(2)Adding equation (1)and (2)(1+2x)50+(12x)50=2[50C0+50C222x+50C423x2+...]Putting x=1, we get above as 350+12

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