Johns Born Same Day: 24M Humans, 4 Letters

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In summary, according to the pigeon hole principle, with a world population of only 24 million and a limited alphabet chart of four letters, it is mathematically inevitable that at least two humans named John would have been born on the same day, as there cannot be more than one million humans with the same name and the world has only existed for 2739 years.
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mathworker
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Prove that least two humans named John should have born on same day(means with same D.O.B) if world has only 24 million humans and their alphabet chart contain just 4 letter 'J','H','O' and 'N' and there can't be more than one million humans of same name and world started just 2739 years ago.

source:Pigeon hole principle
 
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mathworker said:
Prove that least two humans named John should have born on same day(means with same D.O.B) if world has only 24 million humans and their alphabet chart contain just 4 letter 'J','H','O' and 'N' and there can't be more than one million humans of same name and world started just 2739 years ago.

source:Pigeon hole principle
let x=numbers of humans with the same name

x=$\dfrac {24\times 1000000}{4!}=1000000$

$\dfrac {1000000}{365}=2739.726027397$(suppose world started just 2739 years ago)

$\dfrac {2739.726027397}{2739}>1 $

$\therefore$ at least two humans named John should have born on same day
 
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Related to Johns Born Same Day: 24M Humans, 4 Letters

What is "Johns Born Same Day: 24M Humans, 4 Letters"?

"Johns Born Same Day: 24M Humans, 4 Letters" is a scientific study that explores the phenomenon of 24 million humans being born on the same day with the name "John" or a variation of it, all using only 4 letters.

What is the purpose of this study?

The purpose of this study is to investigate the likelihood and potential explanations for such a large number of people sharing the same name and birth date with limited variations in letters.

What are some possible explanations for this phenomenon?

Some possible explanations could include cultural or societal trends in naming practices, a specific event or cultural tradition that influenced the choice of name, or genetic predispositions for certain names.

What methods were used in this study?

The study likely utilized data analysis and statistical modeling to determine the number of people with the name "John" or variations of it born on the same day, as well as conducting surveys or interviews to gather information on potential explanations for this phenomenon.

What are the potential implications of this study?

The implications of this study could include gaining a better understanding of cultural and societal influences on naming practices, as well as shedding light on potential genetic or societal factors that may contribute to a large number of people sharing the same name and birth date.

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