Bijection
Seats and students of a classroom
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=== Seats and students of a classroom=== |
=== Seats and students of a classroom=== |
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In a classroom there are a certain number of seats. A group of students enter the room and the instructor asks them to be seated. After a quick look around the room, the instructor declares that there is a bijection between the set of students and the set of seats, where each student is paired with the seat they are sitting in. What the instructor observed in order to reach this conclusion was that: |
In a classroom, there are a certain number of seats. A group of students enter the room and the instructor asks them to be seated. After a quick look around the room, the instructor declares that there is a bijection between the set of students and the set of seats, where each student is paired with the seat they are sitting in. What the instructor observed in order to reach this conclusion was that: |
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# Every student was in a seat (there was no one standing), |
# Every student was in a seat (there was no one standing), |
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# No student was in more than one seat, |
# No student was in more than one seat, |
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