Basic Principle Quizzes, Questions & Answers

Top Trending Basic Principle Quizzes

Are you ready to explore one of the simplest yet most powerful ideas in combinatorics? This quiz guides you through the basic pigeonhole principle — the idea that if you place more items than categories, repetition is...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question 1
If 13 people are in a room, what is the minimum number who must share a birth month?

1

2

3

12

Sample Question 2
The Pigeonhole Principle states: if nobjects are placed into kboxes and n>k, then at least one box contains more than one object.

True

False

Sample Question 3
What is the minimum number of socks you must draw from a drawer containing 6 blue, 6 black, and 6 white socks to guarantee a matching pair?

2

3

4

5

Recent Basic Principle Quizzes

Advanced Pigeonhole Principle and Finite Mapping Theory Quiz

Ready to explore the pigeonhole principle at its most abstract level? This quiz takes you into high-level combinatorial logic involving functions, mappings, ceiling bounds, equivalence classes, and existence proofs....

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
The pigeonhole principle can be interpreted as guaranteeing which property of a function when ?

Injectivity

Surjectivity

Non-injectivity

Bijectivity

Pigeonhole Principle: Theory, Logic, and Applications Quiz

Think you understand how the pigeonhole principle works behind the scenes? This quiz dives deeper into its logic, terminology, and the kinds of arguments it supports in graduate-level combinatorics. You’ll analyze...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
The basic pigeonhole principle states that if objects are placed into boxes and , then:

All boxes must be full

At least one box contains ≥ 2 objects

Each box contains the same number

Some boxes must be empty