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Questions  

The coefficient of x9 in the expansion of E =(1+x)9 +(1+x)10++(1+x)100 is

a
101C9
b
101C10
c
100C9
d
100C10

detailed solution

Correct option is B

E=(1+x)9(1+x)92−11+x−1=(1+x)101−(1+x)9xCoefficient of x9 in E                               =coefficient of x10 in (1+x)101−(1+x)9                                =101C10

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