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Q.

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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a

5040

b

2480

c

2520

d

4960

answer is B.

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Detailed Solution

Total no of 4 digit telephone numbers=104

No of 4 digit numbers without repetition=10p4

No of 4 digit numbers with at least

one repetition=104-10p4

                        =10000-10x9x8x7

                        =10000-5040=4960

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