Identify the correct definition of Pigeonhole principle.
Difficulty: Medium
About this MCQ
This Medium Discrete Mathematics MCQ checks one syllabus fact.
The question is: “Identify the correct definition of Pigeonhole principle.”
The accepted answer 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.. 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.
- 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.” is not correct. The accepted answer 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.. 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
- 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.” is not correct. The accepted answer 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.. 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
- 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.” is not correct. The accepted answer 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.. 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
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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