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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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