How many different four letter words can be formed (the words need not be meaningfulusing the letters of the word "MEDITERRANEAN" such that the first letter is E and thelast letter is R?

How many different four letter words can be formed (the words need not be meaningfulusing the letters of the word "MEDITERRANEAN" such that the first letter is E and thelast letter is R? Correct Answer 59

The first letter is E and the last one is R.

 

Therefore, one has to find two more letters from the remaining 11 letters.

 

Of the 11 letters, there are 2 Ns, 2Es and 2As and one each of the remaining 5 letters.

 

The second and third positions can either have two different letters or have both the letters to be the same.

 

Case 1: When the two letters are different. One has to choose two different letters from the 8 available different choices. This can be done in 8 * 7 = 56 ways.

 

Case 2: When the two letters are same. There are 3 options - the three can be either Ns or Es or As. Therefore, 3 ways.

 

Total number of possibilities = 56 + 3 = 59

Bissoy MCQ

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