JEE Mains · Maths · STD 11 - 6. permutation and combination
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
- A \(110\)
- B \(59\)
- C \(\frac {11\,!}{(2\,!)^3}\)
- D \(56\)
Answer & Solution
Correct Answer
(B) \(59\)
Step-by-step Solution
Detailed explanation
\(M, EEE, D. I, T, RR,AA,NN\) \(R--E\) Two empty places can be filled with identical letters \([EE, AA, NN] \Rightarrow 3\) ways Two empty places, can be filled with distinct letters \([M, E, D, I, T, R, A, N] \Rightarrow ^8{P_2}\) \(\therefore \) Number of words…
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