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+1 vote
1.0k views
in Mathematics by (71.3k points)

Ten different letters of an alphabet are given Words with 5 letters are formed from the given letters. The no, of words which have atleast one letter repeated is _______

(a) 69750 

(b) 30240 

(c) 9948 

(d) 10680

1 Answer

+1 vote
by (76.5k points)
selected by
 
Best answer

Correct option: (a) 69750

Explanation:

Number of words with 5 letters = 105

Number of words with 5 letters without repetitions = 10P5 

∴ Required number of words = 105 - 10P5 = 69750

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