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JEE Main20252 Apr 2025Morning ShiftMathematicsPermutation and CombinationActual

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

Options

  1. A21
  2. B22
  3. C20
  4. D23

Correct answer

B. 22

Step-by-step solution

2^ 3^ 5^ B = [ 50 3 ]+ [ 50 3^2 ]+ [ 50 3^3 ]+ [ 50 3^4 ] =16+5+1 =2 Maximum value of n is 22

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