If the co-efficient of x⁷ and x⁸ in the expansion of (2 + x/3)ⁿ are equal, then the value of n is equal to _ _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Jul, Evening shift · Q27

JEE Main 202125 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the co-efficient of x⁷ and x⁸ in the expansion of

{\left( {2 + {x \over 3}} \right)^n}

are equal, then the value of n is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 25 Jul, Evening shift · Q27

JEE Main 202125 Jul, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the co-efficient of x⁷ and x⁸ in the expansion of

{\left( {2 + {x \over 3}} \right)^n}

are equal, then the value of n is equal to _____________.

Your answerType your answer. Integers and decimals are accepted.