If there are more than m objects and there are m pigeonholes then: Which of the following is true?
If there are more than m objects and there are m pigeonholes then: Which of the following is true? Correct Answer There will be at least one pigeonhole with at least two objects
The Pigeonhole Principle:
1. If n pigeonholes are occupied by n + 1 or more pigeons, then at least one pigeonhole is occupied by greater than one pigeon.
2. Generalized pigeonhole principle is: - If n pigeonholes are occupied by kn + 1 or more pigeons, where k is a positive integer, then at least one pigeonhole is occupied by k + 1 or more pigeons.
Observations:
If there are more than m objects and there are m pigeonholes then there will be at least one pigeonhole with at least two objects
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Feb 20, 2025