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Binomial Theorem question

2022 · 25 Jun · Shift 2 · Q29

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2022 · 25 Jun · Shift 2 · Q29

Binomial Theorem question

2022 · 25 Jun · Shift 2 · Q29

JEE MainMathematicsBinomial TheoremMCQ+4 / −1

The coefficient of x101 in the expression

{(5 + x)^{500}} + x{(5 + x)^{499}} + {x^2}{(5 + x)^{498}} + \,\,.....\,\, + \,\,{x^{500}}

, x > 0, is

A
501C101 (5)399
B
501C101 (5)400
C
501C100 (5)400
D
500C101 (5)399

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