JEE Advanced 2020 Paper 2 Q12 Binomial Coefficients
This video from covers a simplified solution of a highly challenging problem related to Binomial Coefficients asked in JEE Advanced 2020 Paper II Q 12 in very few steps easy to understand form. The problem is as follows-
For nonnegative integers s and r, let ( sr) = {s!/r! (s − r)! if r ≤ s, 0 if r s. For positive integers m and n, let g(m, n) = ∑f(m, n, p) (n + p p) m+n p=0 where for any nonnegative integer p, f(m, n, p) = ∑(mi ) ( n + I p ) ( p + n p – i ) . p i=0 Then which of the following statements is/are TRUE?
(A) g(m, n) = g(n, m) for all positive integers m, n
(B) g(m, n + 1) = g(m + 1, n) for all positive integers m, n
(C) g(2m, 2n) = 2 g(m, n) for all positive integers m, n
(D) g(2m, 2n) = (g(m, n)) 2 for all positive integers m, n
This video is suitable for the students aspiring for engineering entrance exam and is also suitable for CBSE, ISC, HSC, IB Board students and the students who have genuine interest in learning coordinate geometry
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