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JEE Main Mathematics Permutation Combination 2026 JEE Main 2026 (21 January Shift 2)

JEE Main Mathematics Question (2026) — Solution

Question

The largest n N , for which 7^ n divides 101!, is :

Options

  1. A. 16
  2. B. 15
  3. C. 18
  4. D. 19

Answer

A. 16

Step-by-step solution

Exponent of 7 in 101! is: 101 7 + 101 7^2 + 101 7^3 + = 14 + 2 = 16.

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Related: Mathematics — Permutation Combination · All PYQ Banks