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The coefficient of x53 in ∑m=0100 100Cm(x−5)100−m(4)m is

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answer is 3.

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Detailed Solution

We have∑m=0100 100Cm(x−5)100−m(4)m=(x−5+4)100=(x−1)100 ∴ Coefficient of x53 is 100C53(−1)47=−100C53

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