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Question

How many 7 digit telephone numbers can be formed from the digits 0,1,2,...,9, where each telephone number begins with digit 2?

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Solution

We need to form 7 digit numbers using 0 to 9. The first digit is given is fixed as 2. The other 6 digits can be any of 10 numbers each.

Total number of ways

=10×10×10×10×10×10

=106

Hence, the answer is 106.

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