Solve the following using counting techniques. (a) The landline telephone numbers in the phone system in Islamabad city consist of seven digits, with the first digit not equal to zero. How many different numbers can be assigned in this system? (b) There are 12 signs of the zodiac. How many people are needed to guarantee that at least six of these people have the same sign? (c) How many bit strings of length 10 contain at least five Os?

Solve the following using counting techniques. (a) The landline telephone numbers in the phone system in Islamabad city consist of seven digits, with the first digit not equal to zero. How many different numbers can be assigned in this system? (b) There are 12 signs of the zodiac. How many people are needed to guarantee that at least six of these people have the same sign? (c) How many bit strings of length 10 contain at least five Os?

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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