Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NTA Abhyas JEE Main2020MathematicsPermutation and CombinationPractice

The exponent of 7 in 100 C 50 is

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

A. 0

Step-by-step solution

We know that, 100 C 50 = 100 ! 50 ! 50 ! The exponent of 7 in 50 ! is 50 7 + 50 7 2 = 7 + 1 = 8 And the exponent of 7 in 100 ! is 100 7 + 100 7 2 = 14 + 2 = 1 6 Thus, the exponent of 7 in 100 C 50 is 16 - 2 × 8 = 0

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

All Permutation and Combination questions Full Permutation and Combination list All NTA Abhyas JEE Main PYQs