Double Summation Demystified | Binomial Theorem

Double Summation Demystified | Binomial Theorem | Factorial’s Question of the Day | JEE In this video, we discuss a wonderful question from the Binomial Theorem which requires a clear understanding of double summation. Problems like these push you to connect different ideas of algebra and combinatorics, making it a gem of a question. ⸻ Question Discussed: Q. Evaluate the following expression: Sum over 0 ≤ i ≤ j ≤ n of (i + j) * (C_i^2 + C_j^2 + C_i * C_j) Options: (A) (n/2) * { (2n – 1) * 2^n C_n + 4^n } (B) (n/2) * { (2n + 1) * 2^n C_n + 4^n } (C) (n/2) * { 4^n – (2n – 1) * 2^n C_n } (D) (n/2) * { 4^n – (2n + 1) * 2^n C_n } ⸻ 🔔 Don’t forget to subscribe for more beautiful math problems! 📢 Join our Telegram for updates and discussions: https://t.me/academyfactorial #BinomialTheorem #JEEAdvanced #JEE2025 #IITJEE #IntegralCalculus #MathsForJEE #FactorialAcademy #BinomialExpansion #DoubleSummation #MathConcepts #JEEPreparation #JEETricks #IITJEE2025 #MathShorts #ProblemSolving