JEE Main 2025 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2025

The largest n ∈ N such that divides 50! is :

Answer: (1)

Solution

Legendre's formula: ⌊50/3⌋+⌊50/9⌋+⌊50/27⌋ = 16+5+1 = 22.

Question ID VK-002504