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Question

The coefficient of x6 in {(1+x)6+(1+x)7+.....+(1+x)15}is

A
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B
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C
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D
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Solution

The correct option is B
Expression=(1+x)6{1(1+x)10}1(1+x);sum of 10 term of GP=(1+x)16(1+x)6xThe required coefficient=the coefficient of x7 is {(1+x)16(1+x)6}=16C7=16C9

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