Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main2016MathematicsPermutation and CombinationActual

If the four letter words (need not be meaningful) are to be formed using the letters from the word "MEDITERRANEAN" such that the first letter is R and the fourth letter is E , then the total number of all such words is :

Options

  1. A110
  2. B59
  3. C11 ! 2 ! 3
  4. D56

Correct answer

B. 59

Step-by-step solution

M , EEE , D , I , T , RR , AA , NN R _   _   _   E _ Two empty places can filled with identical letters EE ,   AA ,   NN ⇒ 3 ways Two empty places, can be filled with distinct letters M , E , D , I , T , R , A , N ⇒       8 P 2 ∴ Number of words 3 + 8 P 2 = 59

Practice Permutation and Combination on Quantrex Academy →

More from Permutation and Combination

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