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The number of four digit telephone numbers having atleast one of their digits repeated is (Note : 0 can be accepted in first place)

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5040

2480

2520

4960

answer is B.

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Detailed Solution

Total number of 4 digit telephone numbers=10⁴

Number of 4 digit telephone numbers without repetition= $^{10} P_{4}$

The number of four digit telephone numbers having atleast one of their digits repeated is $10^{4} - 10 p_{4}$

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