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Question

The number of 5 digit telephone numbers having at least one of their digits repeated is? (0 can be the starting digit of the number)

A
30240
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B
10500
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C
45600
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D
69760
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E
62660
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Solution

The correct option is D 69760

Total number of 5 digit telephone numbers which can be formed using digits 0,1,2…9 is 105

Number of 5 digit numbers having not even a single digit repeated is 10P5= 30240

Required number of telephone numbers = 105-30240 = 69760


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