The coefficient of x¹⁰¹ in the expression …, x > 0, is

Binomial Theorem

JEE Main 2022 · 25 Jun, Evening shift · Q2937

MathematicsMedium64×since 2002Q2937

The coefficient of x¹⁰¹ in the expression

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

, x > 0, is

JEE Main 2022 · 25 Jun, Evening shift · Q2937

MathematicsMedium64×since 2002Q2937

The coefficient of x¹⁰¹ in the expression

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

, x > 0, is