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Question


Coefficient of x100in1+(1+x)+(1+x)2+(1+x)3(1+x)n is 201C101,(n>100) then n =


A

100

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B

200

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C

101

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D

none of these

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Solution

The correct option is B

200


Coefficient of x100=100C100+101C100++nC100=n+1C101=201C101n=200


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