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
- A110
- B59
- C11 ! 2 ! 3
- 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