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

JEE Main 2025 · April, Unspecified (session-level dataset) · Q137

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

In the expansion of

\bigl(\frac{\sqrt{2}}{3} + \frac{1}{\sqrt{3}}\bigr)^n

, n \in \mathbb{N}, if the ratio of the 15th term from the beginning to the 15th term from the end is \tfrac{1}{6}, then the value of \binom{n}{3} is:

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JEE Main 2025 Binomial Theorem and Its Simple Applications Question with Solution (April Unspecified (session-level dataset), Q137) | JEE Arc