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Systematic Listing Strategies

Apply systematic listing strategies to find the number of combinations and permutations of choices.

Level 1 Level 2 Level 3 Level 4 Level 5 Level 6 Level 7 Exam-Style Description Help More...

This is level 4: find the number of arrangements.

1. How many ways are there of arranging three playing cards (the Jack, Queen and King) in a line like this:
CardCardCard

Correct Wrong

2. How many ways could 4 people line up at a bus stop?
Bus Stop

Correct Wrong

3. In how many different ways can these five balloons be arranged in a line?
BalloonBalloonBalloonBalloonBalloon

Correct Wrong

4. There are six flagpoles at the International Scout Jamboree. In how many different ways can these six flags be assigned to flag poles?
FlagFlagFlagFlagFlagFlag

Correct Wrong

5. How many ways are there to arrange the letters of the word POP without any duplicate arrangements?

Correct Wrong

6. How many ways are there to arrange the letters of the word BOOK without any duplicate arrangements?

Correct Wrong

7. How many ways are there to arrange the letters of the word PEEP without any duplicate arrangements?

Correct Wrong

8. How many ways are there to arrange the letters of the word MOTOR without any duplicate arrangements?

Correct Wrong

9. How many ways are there to arrange the letters of the word QUEUE without any duplicate arrangements?

Correct Wrong

10. How many ways are there to arrange the digits 69696 without repetition?

Correct Wrong

11. How many ways are there to arrange the letters of the word YELLOW without any duplicate arrangements?

Correct Wrong

12. How many ways are there to arrange the letters of the word RUNNER without any duplicate arrangements?

Correct Wrong
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This is Systematic Listing Strategies level 4. You can also try:
Level 1 Level 2 Level 3 Level 5 Level 6 Level 7

Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

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If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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© Transum Mathematics :: This activity can be found online at:
www.transum.org/Maths/Exercise/Listing/Default.asp?Level=4

Description of Levels

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Level 1 - Practical listing activities

Level 2 - Find missing items and errors

Level 3 - The product rule for counting

Level 4 - Find the number of arrangements

Level 5 - Standard permutation questions

Level 6 - Standard combinations questions

Level 7 - Mixed combinatorics questions

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Example

The video above is from Jackson Walker.

You may also want to use a calculator to check your working. See Calculator Workout skill 14.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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