Ten different letters of an alphabets are given. Words with five letters are formed from these given letters. The number of words, which have at least one letter repeated is
A
59720
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B
79260
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C
69760
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D
None of these
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Solution
The correct option is C69760 Number of words when repetition is allowed is 10×10×10×10×10=105. Number of words when repetition is not allowed is 10×9×8×7×6=30240. Hence, required number of words in which at least one letter is repeated is 10000−30240=69760.