The largest n such that 3ⁿ divides 50! is:

Permutations and Combinations: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q26

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumPermutations and Combinations98× since 2002

The largest

n\in\mathbb{N}

such that

3^n

divides

50!

is:

JEE Main 2025 · April, Unspecified (session-level dataset) · Q26

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumPermutations and Combinations98× since 2002

The largest

n\in\mathbb{N}

such that

3^n

divides

50!

is: