JEE Main 2016 · 9 Apr · Shift 1 · Mathematics Q66

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MathematicsSingle correct+4 / -1Question 66 of 90

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 :

\dfrac{11!}{(2!)^3}

110

Answer and worked solution

Official answer: D

After fixing R and E, the remaining letters are M, E, E, D, I, T, R, A, A, N, N (8 kinds). The middle two letters: $8\times7=56$ with different letters, plus 3 with a repeated letter (EE, AA, NN): 59.

Topics:Permutations

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JEE Main 2016 · 9 Apr · Shift 1, Mathematics question 66