Suppose A and B are the coefficients of 30^(th) and 12^(th) terms respectively in the binomial expansion of (1 + x)²ⁿ⁻¹. If 2A = 5B, then n is equal to:

Binomial Theorem and Its Simple Applications: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q191

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Suppose A and B are the coefficients of

30^{\text{th}}

and

12^{\text{th}}

terms respectively in the binomial expansion of

(1 + x)^{2n - 1}

. If

2A = 5B

, then

n

is equal to: