# Solving Combination Problems Translation: n refers to the number of objects from which the combination is formed; and r refers to the number of objects used to form the combination. The combinations were formed from 3 letters (A, B, and C), so n = 3; and each combination consisted of 2 letters, so r = 2.

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In this lesson, we will practice solving various permutation and combination problems using permutation and combination formulas.

We can continue our practice when we take a quiz at the end of the lesson.

The distinction between a combination and a permutation has to do with the sequence or order in which objects appear.

A permutation, in contrast, focuses on the arrangement of objects with regard to the order in which they are arranged. Using those letters, we can create two 2-letter permutations - AB and BA.

This is the key distinction between a combination and a permutation.

A combination focuses on the selection of objects without regard to the order in which they are selected.

Instructions: To find the answer to a frequently-asked question, simply click on the question.

If none of the questions addresses your need, refer to Stat Trek's tutorial on the rules of counting or visit the Statistics Glossary. A permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement.

Translation: n refers to the number of objects from which the permutation is formed; and r refers to the number of objects used to form the permutation. The permutations were formed from 3 letters (A, B, and C), so n = 3; and each permutation consisted of 2 letters, so r = 2.

For an example that counts permutations, see Sample Problem 1.

## Comments Solving Combination Problems

• ###### Are there any tricks to solve permutation and combination problems.
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What a fun question. Years ago, I got to work as a paper-grader for a very famous statistician teaching a basic course. This gentleman had a.…

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After completing this tutorial, you should be able to Use combinations to solve a counting problem involving groups.…

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Also, there is no repetition taken in the concept of combinations. They are. Combination problems are given below Example 1 In a. Solution The possible number of ways for finding three names out of ten from the box is C 10, 3 = 10!3!7.…

• ###### Students' Errors in Solving the Permutation and Combination.
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Abstract. This article was written based on the results of a study evaluating students' errors in problem solving of permutation and combination.…

• ###### Students' thinking process in solving combination problems. - Eric
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This study aims to explain the thinking process of students in solving combination problems considered from assimilation and accommodation.…

• ###### How to Calculate the Probability of Combinations - Video & Lesson.
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To calculate the probability of a combination, you will need to consider the number. Let's look at another example of how we would write and solve the factorial of 9. In this problem, John is choosing three movies from the ten new releases.…

• ###### Combinations Examples - Concepts & Word Problems
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A selector should work out the different combinations to study the pros and cons of. Solution This is also a combination problem but attached some conditions.…

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Thus, 210 different 3-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, and 7. To solve this problem using the Combination and Permutation Calculator.…

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A combination is a way of choosing \$r\$ objects from a set of \$n\$ where the order in which the objects are chosen is irrelevant. We are generally concerned with.…

• ###### Permutation & Combination Problems & Practice
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In this lesson, we will practice solving various permutation and combination problems using permutation and combination formulas. We can continue.…