How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?	Choose the correct choice from the following answers.
A) 59 B) 11! / (2!*2!*2!) C) 56 D) 23 E) 11! / (3!*2!*2!*2!)
Explanatory Answer   Select 2 letters and rearrange them   MEDITERRANEAN is 13-letter word.   We have to make 4 letter words that start with an 'E' and end with 'R'.   Therefore, we have 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 can have both as same letters.   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= 
<gadget id="calculator">  8 * 7</gadget>
<output>56</output>
56 ways.   Case 2: When the two letters are same   There are 3 options - the two letters can be Ns or Es or As. Therefore, 3 ways.   Total number of posssibilities= 56 + 3= 
<gadget id="calculator">56 + 3</gadget>
<output>59</output>
59   Choice 59
<result>A</result>
How many different four letter words can be formed (the words need not be meaningful) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?