Double Summation Demystified | Binomial Theorem
Автор: Factorial Academy
Загружено: 2025-08-17
Просмотров: 969
Описание:
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.
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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 }
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