Green Bridge Learning Resource For Permutations And Combinations

Overview

How many ways can you arrange a queue, choose a committee, or set a padlock code? Counting these possibilities is the business of permutations and combinations. The single most important question to ask first is deceptively simple: does the order matter?

In this lesson you will learn to tell permutations (where order matters) from combinations (where it does not), and to choose the right tool for a counting problem. Getting this distinction right is the difference between a confident answer and a wildly wrong one, and it underpins all of probability counting.

Lesson Evaluation

Congratulations on completing the lesson on Permutations And Combinations. Now that youve explored the key concepts and ideas, its time to put your knowledge to the test. This section offers a variety of practice questions designed to reinforce your understanding and help you gauge your grasp of the material.

You will encounter a mix of question types, including multiple-choice questions, short answer questions, and essay questions. Each question is thoughtfully crafted to assess different aspects of your knowledge and critical thinking skills.

Use this evaluation section as an opportunity to reinforce your understanding of the topic and to identify any areas where you may need additional study. Don't be discouraged by any challenges you encounter; instead, view them as opportunities for growth and improvement.

In a permutation: A. Order does not matter B. Order matters C. Items must repeat D. Only two items are chosen Answer: B
In a combination: A. Order matters B. Order does not matter C. Items are arranged in a line D. Repetition is required Answer: B
How many ways can gold, silver and bronze be awarded among 5 runners? A. 10 B. 15 C. 60 D. 125 Answer: C
How many ways can a committee of 3 be chosen from 5 people? A. 6 B. 10 C. 15 D. 60 Answer: B
Which of these is a combination problem? A. A 4-digit PIN B. The finishing order of a race C. Choosing a team of 3 from 8 D. Arranging books on a shelf Answer: C