Practice - Discrete Mathematics
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Practice Questions
Test your understanding with targeted questions
What is the midpoint of the points (2, 4) and (6, 8)?
💡 Hint: Use the midpoint formula, averaging x and y coordinates.
How many pairs of numbers from 1 to 8 can add to 9?
💡 Hint: List down numbers and see which pairs sum to 9.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the midpoint of (4, 6) and (8, 10)?
💡 Hint: Use the formula M = ((x1 + x2) / 2, (y1 + y2) / 2).
True or False: The Pigeonhole Principle states that if n items are put into m containers, with n > m, at least one container must be empty.
💡 Hint: Think about how items distribute into containers.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Create a set of 10 numbers all distinct, find a pair among them that sums to a given number using pigeonhole principle.
💡 Hint: What number pairs in your set could equal the desired sum?
Demonstrate with an example how the pigeonhole principle guarantees an outcome involves at least one integer midpoint.
💡 Hint: Sum the coordinates and look for evenness.
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Reference links
Supplementary resources to enhance your learning experience.