Practice Mapping To Ordered Pairs (17.6.2) - Module No#08 - Discrete Mathematics - Vol 2
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Mapping to Ordered Pairs

Practice - Mapping to Ordered Pairs

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the midpoint of the points (2, 4) and (4, 6)?

💡 Hint: Use the midpoint formula: ((x1 + x2)/2, (y1 + y2)/2).

Question 2 Easy

How many even/odd combinations exist when evaluating coordinates?

💡 Hint: Consider parity for x and y coordinates.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What principle is used to guarantee that among 5 points, at least two share the same category?

Pigeonhole Principle
Midpoint theorem
Integer mapping

💡 Hint: Think of categorizing items.

Question 2

True or False: The midpoint of (1,3) and (3,5) is an integer.

True
False

💡 Hint: Calculate it to verify.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given 5 different integers in the range of 1 to 10, show how you can always find two that sum up to 11.

💡 Hint: Chart out the pairs and check how they fit.

Challenge 2 Hard

Constructively prove that with any selection of 6 integers from 1 to 12, at least two integers will share the same parity.

💡 Hint: Think about how many students can fit into the same two chairs.

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