If (⁴⁰C₀) + (⁴¹C₁) + (⁴²C₂) +..... + (⁶⁰C₂₀) = m/n ⁶⁰C₂₀ m and n are coprime, then m + n is equal to _ _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Evening shift · Q29

JEE Main 202226 Jun, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

\left( {{}^{40}{C_0}} \right) + \left( {{}^{41}{C_1}} \right) + \left( {{}^{42}{C_2}} \right) + \,\,.....\,\, + \,\,\left( {{}^{60}{C_{20}}} \right) = {m \over n}{}^{60}{C_{20}}

m and n are coprime, then m + n is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 26 Jun, Evening shift · Q29

JEE Main 202226 Jun, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

\left( {{}^{40}{C_0}} \right) + \left( {{}^{41}{C_1}} \right) + \left( {{}^{42}{C_2}} \right) + \,\,.....\,\, + \,\,\left( {{}^{60}{C_{20}}} \right) = {m \over n}{}^{60}{C_{20}}

m and n are coprime, then m + n is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.