Click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Click and drag the steps to show that at least three of any 25 days chosen must fall in the same month of the year.

 

There will be 3.12 = 36 chosen days in 12
months.
Hence, three chosen days must fall in the
same month.
Then, there will be at most 2.12 = 24
chosen days in 12 months.
This contradicts the assumption that we have
25 days.
Assume there were at most three chosen
days falling in the same month.
Assume there were at most two chosen
days falling into any one month.
Transcribed Image Text:There will be 3.12 = 36 chosen days in 12 months. Hence, three chosen days must fall in the same month. Then, there will be at most 2.12 = 24 chosen days in 12 months. This contradicts the assumption that we have 25 days. Assume there were at most three chosen days falling in the same month. Assume there were at most two chosen days falling into any one month.
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