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Thepotemich [5.8K]
3 years ago
15

If there are 736 students in a school, prove that at least three students have a birthday on the same day of the year.

Mathematics
1 answer:
serg [7]3 years ago
4 0

Step-by-step explanation:

736 / 365 = 2R6

So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday.  The last 6 students therefore share a birthday with at least 2 other students.  So there are at least 3 students who share a birthday.

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