JEE Main 2016MathematicsPermutation CombinationMediumMCQ

JEE Main 2016 — Permutation Combination Question with Solution

JEE Main 2016 (09 Apr Online)

Question

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 :

Choose an option

Show full solutionCorrect option: B
Correct answer
B59

Step-by-step explanation

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 ⇒   8P2

∴ Number of words 3+8P2=59

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About this question

This is a previous-year question from JEE Main 2016, covering the Permutation Combination chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.