If the four letter words (need not to meaningful) are to be formed | Filo
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Class 11

Math

Algebra

Permutations and Combinations

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If the four letter words (need not to meaningful) are to be formed using the letter 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:

Correct Answer: Option(b)
Solution: First letter is and Fourth letter is

So now we have letters left with and   And with this we have to form a two-letter word.

There will be cases when both these two letters of the middle will be the same. And this will be when they both are either or .

Now when middle two letters are not same. So we have to form a word with without repetition .

Number of such words will be

Hence, the total number of such four-letter words with as the first letter and as the last letter will be .
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