The discussion centers on the application of the Pigeonhole Principle to demonstrate that at least two individuals named John must share the same date of birth given a population of 24 million humans, a four-letter name composed of 'J', 'H', 'O', and 'N', and a maximum of one million individuals per name. With the world having existed for only 2739 years, the constraints lead to the conclusion that the distribution of names and birth dates necessitates overlap. This mathematical proof highlights the inevitability of shared birthdays among individuals with identical names under specified conditions.
PREREQUISITESMathematicians, statisticians, educators, and anyone interested in probability theory and its real-world applications.
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