A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit number must comm contain no repeated digits. The 10-digit number must comm and may contain repeated digits. How many distinct teleph tifer

A telephone company can issue telephone numbers consisting a 10-digit calling number. The 5-digit number must comm contain no repeated digits. The 10-digit number must comm and may contain repeated digits. How many distinct teleph tifer

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A telephone company can issue telephone numbers consisting of a 5-digit area code and
a 10-digit calling number. The 5-digit number must commence with an 0, and must
contain no repeated digits. The 10-digit number must commence with a non-zero digit,
and may contain repeated digits. How many distinct telephone numbers can be issued
by the company? You must justify your answer.

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Why is it 27216 rather than 3024? and 109 instead of 9,000,000,000?

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