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Nine different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, how many such words can be formed which have at least one letter repeated ?

Correct Answer: 43929

Explanation:

Number of words with 5 letters from given 9 alphabets formed =  9 5


 


Number of words with 5 letters from given 9 alphabets formed such that no letter is repeated is =  9 P 5


 


Number of words can be formed which have at least one letter repeated =   9 5   -   9 P 5


 


= 59049 - 15120


 


= 43929


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