# Permutations Worksheets

What are Permutations? The words permutations and combinations are most commonly used together whenever they are used anywhere in mathematics. Before you know what alterations are, lets' first try to understand what a combination is. Consider this example to understand it; Mother made a salad mix of walnut, lettuce, cherry tomatoes, and apple. Here, in this example, it does not matter what order you follow to mix the ingredients. You dump in all the veggies and fruits and prepare a bowl of salad for yourself. This salad is just a combination of fruits and vegetables without any order. If the order doesnâ€™t matter, then it is known as a combination, and if the order matters, then it is called a permutation. Therefore, you can say that permutation is an ordered combination. A permutation is an ordered arrangement of all or a few parts of a set of objects, ensuring that the arrangement does not lose.

• ### Basic Lesson

Demonstrates how to evaluate simple permutations.

• ### Intermediate Lesson

Explores how to work with word problem based permutations. In how many ways can 4 players be listed in a game?

• ### Independent Practice 1

Contains 20 Permutation problems. The answers can be found below.

• ### Independent Practice 2

Example: How many different 5-letter arrangements are there of the letters in the word PLANT?

• ### Homework Worksheet

Permutation problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

We work on a wide range of permutation problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

• ### Basic Lesson

Demonstrates how to use the permutation equation to determine the possible number of outcomes for an event. A permutation is a selection of objects in which the order of the objects matters. A formula for the number of possible permutations of k objects from a set of n.

• ### Intermediate Lesson

Explains how to determine total outcomes of an event in short form. Practice problems are provided. Two cards are drawn at random from a deck of 52 cards, without replacement. How many ways we can draw these 2 cards, 7 and a king (in that order)? There are 52 cards.

• ### Independent Practice 1

Austin, John, and Brittany ran in a race. In how many different orders can they finish the race? The answers can be found below.

• ### Independent Practice 2

Example: How many permutations can you make from the letters A through D?

• ### Homework Worksheet

12 permutations problems for students to work on at home. Example problems are provided and explained.

• ### Topic Quiz

10 permutations problems. A math scoring matrix is included.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Mary Everest Boole, Philosophy And Fun Of Algebra

"let us agree to call it x, and let us always remember that x stands for the Unknown. ... This method of solving problems by honest confession of one's ignorance is called Algebra."

#### Fun Fact

Did you know that famed mathematician Rene Descartes was admitted into college at the tender age of only eight?!