Identify the correct definition of Pigeonhole principle.
Difficulty: Medium
About this MCQ
This Medium Discrete Mathematics question asks: Identify the correct definition of Pigeonhole principle. The correct choice is B. A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item.. Read the options below, commit to one, then use the explanation to see why that choice holds and why the others do not.
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- A. A subgraph that includes all vertices of a graph connected with the minimum number of edges and no cycles.
Why not A: “A subgraph that includes all vertices of a graph connected with the minimum number of edges and no cycles.” does not fit this question. The answer is A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item..
- B. A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item. ✓
- C. A set operation that produces a set containing only the elements common to two or more sets.
Why not C: “A set operation that produces a set containing only the elements common to two or more sets.” does not fit this question. The answer is A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item..
- D. A function that is both one-to-one and onto, pairing every element uniquely.
Why not D: “A function that is both one-to-one and onto, pairing every element uniquely.” does not fit this question. The answer is A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item..
Correct answer
B. A principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item.
Explanation
Pigeonhole principle refers to a principle stating that if more items are placed into fewer containers than the number of items, at least one container must hold more than one item.
Source: Discrete Mathematics Official Reference Guide
Tags: computer science, discrete mathematics, mathematics, logic
Submitted by: MCQsHub Editorial
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