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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.
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.