The largest value of n, for which 40ⁿ divides 60!, is

Permutations and Combinations: JEE Main 2026 Mathematics question

JEE Main 2026 · 24 Jan, Evening shift · Q8

JEE Main 202624 Jan, Evening shiftMathematicsEasyPermutations and Combinations98× since 2002

The largest value of

n

, for which

40^n

divides

60!

, is

JEE Main 2026 · 24 Jan, Evening shift · Q8

JEE Main 202624 Jan, Evening shiftMathematicsEasyPermutations and Combinations98× since 2002

The largest value of

n

, for which

40^n

divides

60!

, is