Permutation: Definition, Formula & Examples


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question 1 of 3

At a charitable event, three raffle tickets are drawn from a total of 100, for first, second and third prizes. How many different ways are there for drawing the three winning tickets?

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1. How many different, six-letter arrangements can we form using the letters of the word 'person,' given that each arrangement must contain all six letters?

2. How many four-letter words, each consisting of four distinct letters (no repetitions of letters), can be formed using only the first seven letters of the alphabet?

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About This Quiz & Worksheet

Permutation formula is important to be familiar with in mathematics, and this quiz/worksheet will help you test your understanding of its calculation and application.

Quiz & Worksheet Goals

In these assessments you'll be tested on the following:

  • Determining the number of ways winning tickets in a raffle can be drawn
  • Calculating the number of words that can be formed from a six-letter word
  • Calculating four-letter word combinations from the first seven letters of the alphabet
  • Figuring out possible PIN code combinations in five digits

Skills Practiced

This quiz and worksheet allow students to test the following skills:

  • Problem solving - use acquired knowledge to solve practice problems using the permutation formula
  • Making connections - use understanding of the permutation formula in different contexts
  • Knowledge application - use your knowledge to answer questions about order possibilities

Additional Learning

To learn more about using the permutation formula, review the accompanying lesson titled Permutation: Definition, Formula & Examples. This lesson covers the following objectives:

  • Define permutation
  • Differentiate between permutations involving repetitions and no repetitions
  • Understand how to use the permutation formula through provided examples