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Basic Concepts Pigeonhole Principle

If 3 pigeons go in 2 pigeonholes, 1 pigeonhole will always have at least 2
pigeons.

If 4 pigeons go in 3 pigeonholes, 1 pigeonhole will always have at least 2
pigeons.

If 1 pigeons go in pigeonholes, 1 pigeonhole will always have at least
2 pigeons. This is called the pigeonhole principle.

Example If 7 pigeons go in the 3 pigeonholes; A, B, and C, 1 pigeonhole

will always have at least pigeons.

Class Notes

3 pigeons go in each pigeonhole. There is/are pigeon(s) in each pigeonhole.
A BC

The next 3 pigeons go in each pigeonhole. There is/are pigeon(s) in each pigeonhole.
AB C

Now, the last pigeon goes in one of the pigeonholes: A, B, and C. 1 pigeonhole will

always have at least pigeon(s).

43Words and Logic
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