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A book contains 20 chapters.Each chapter has a different number of pages(each under 21).The first chapter start on page 1 and each chapter starts on a new page.What is the largest possible numbers of chapers that can begin on odd page numbers? Answer is 15 Can you explain me how?
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A book contains 20 chapters.Each chapter has a different number of pag...
Explanation:


To maximize the number of chapters that begin on an odd page, we want to make sure that every even-numbered chapter has an odd number of pages. That way, the next chapter will start on an odd page. Here's an example of a possible arrangement:

Chapter 1: 1 page
Chapter 2: 2 pages
Chapter 3: 1 page
Chapter 4: 4 pages
Chapter 5: 1 page
Chapter 6: 6 pages
Chapter 7: 1 page
Chapter 8: 8 pages
Chapter 9: 1 page
Chapter 10: 10 pages
Chapter 11: 1 page
Chapter 12: 12 pages
Chapter 13: 1 page
Chapter 14: 14 pages
Chapter 15: 1 page
Chapter 16: 16 pages
Chapter 17: 1 page
Chapter 18: 18 pages
Chapter 19: 1 page
Chapter 20: 20 pages

Conclusion:


In this arrangement, chapters 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, and 20 begin on odd pages, for a total of 11. However, if we combine chapters 6 and 7 into one chapter with 7 pages, we can make sure that every even-numbered chapter has an odd number of pages, which means every odd-numbered chapter will start on an odd page. With this arrangement, the maximum number of chapters that can begin on odd page numbers is 15.
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A book contains 20 chapters.Each chapter has a different number of pag...
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A book contains 20 chapters.Each chapter has a different number of pages(each under 21).The first chapter start on page 1 and each chapter starts on a new page.What is the largest possible numbers of chapers that can begin on odd page numbers? Answer is 15 Can you explain me how?
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