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Question: Find the number of 4 letter words that can be made using the alphabets, if repetition of a letter is not allowed.


A ) 1311!
B ) 26!22!
C ) 1311
D ) 26!4!

Steps to derive

1 The number of letters in the alphabet is 26.

2 the number of permutations of 26 letters taken 4 at a time, if repetition of a letter is not allowed is 26P4.

 [nPr = n!(n - r)!.]
3 = 26!(26 - 4)!

4 = 26!22!



Hence the right answer is Option B

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