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The co-efficient of x^5 in the expansion...

The co-efficient of `x^5` in the expansion of `(1 + x)^21+ (1 + x)^22 + (1+x)^23 + ..... + (1 + x)^30` is

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The correct Answer is:
`=""^(31)C_6 - ""^(21)C_6`
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