Show that there are at least four people in California (population: 25 million) with the same three initials who were born on the same day of the year (but no necessarily in the same year). Note: For this problem assume 366 days in a year # of different initial & day of the year combinations possible Pigeons Holes " which proves our original statement by the pigeonhole principle.

Show that there are at least four people in California (population: 25 million) with the same three initials who were born on the same day of the year (but no necessarily in the same year). Note: For this problem assume 366 days in a year # of different initial & day of the year combinations possible Pigeons Holes " which proves our original statement by the pigeonhole principle.

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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Problems on numbers

Number theory is one of the most appealing topics in mathematics. Given one or more numeric values, a numeric algorithm performs some computation. The use of number theory in computing is important for applications like in the case of cryptographic algorithms. Number theory is also used in various applications such as calculating hash functions or in information security. Euclid’s algorithm is one of the oldest number-theoretic algorithms which is used to calculate the greatest common divisor of two numbers.

Question

Show that there are at least four people in California (population: 25 million) with the same three initials who were
born on the same day of the year (but no necessarily in the same year).
Note: For this problem assume 366 days in a year
# of different initial & day of the year combinations possible
Pigeons
Holes
which proves our original statement by the pigeonhole principle.

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