JEE Main 2016 Mathematics question

MathematicsPermutations and CombinationsJEE Main 2016

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 :

Answer: (2)

Solution

The word MEDITERRANEAN has 13 letters: M, E3, D, I, T, R2, A2, N2. Fixing R in the first position and E in the fourth consumes one R and one E, leaving the pool M, E2, D, I, T, R, A2, N2 — that is, **8 distinct letters**, of which E, A and N are available twice.

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Question ID VK-115556