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Count outcomes with the counting principle: three choices

Year 7 maths · Fieldbook Learning

Name ______________________ Date __________

Multiply the number of choices for each part.

  1. An outfit uses 1 of 3 shirts, 1 of 6 pants and 1 of 2 hats. How many different outfits are possible?
  2. An outfit uses 1 of 3 shirts, 1 of 3 pants and 1 of 5 hats. How many different outfits are possible?
  3. An outfit uses 1 of 3 shirts, 1 of 2 pants and 1 of 6 hats. How many different outfits are possible?
  4. An outfit uses 1 of 2 shirts, 1 of 2 pants and 1 of 4 hats. How many different outfits are possible?
  5. An outfit uses 1 of 6 shirts, 1 of 4 pants and 1 of 2 hats. How many different outfits are possible?
  6. An outfit uses 1 of 6 shirts, 1 of 7 pants and 1 of 3 hats. How many different outfits are possible?
  7. An outfit uses 1 of 5 shirts, 1 of 4 pants and 1 of 6 hats. How many different outfits are possible?
  8. An outfit uses 1 of 3 shirts, 1 of 5 pants and 1 of 6 hats. How many different outfits are possible?
  9. An outfit uses 1 of 8 shirts, 1 of 9 pants and 1 of 2 hats. How many different outfits are possible?
  10. An outfit uses 1 of 7 shirts, 1 of 7 pants and 1 of 7 hats. How many different outfits are possible?
  11. An outfit uses 1 of 8 shirts, 1 of 8 pants and 1 of 8 hats. How many different outfits are possible?
  12. An outfit uses 1 of 4 shirts, 1 of 8 pants and 1 of 8 hats. How many different outfits are possible?
  13. An outfit uses 1 of 11 shirts, 1 of 7 pants and 1 of 9 hats. How many different outfits are possible?
  14. An outfit uses 1 of 4 shirts, 1 of 10 pants and 1 of 8 hats. How many different outfits are possible?
  15. An outfit uses 1 of 8 shirts, 1 of 12 pants and 1 of 9 hats. How many different outfits are possible?
  16. An outfit uses 1 of 5 shirts, 1 of 4 pants and 1 of 3 hats. How many different outfits are possible?
  17. An outfit uses 1 of 15 shirts, 1 of 8 pants and 1 of 4 hats. How many different outfits are possible?
  18. An outfit uses 1 of 12 shirts, 1 of 15 pants and 1 of 13 hats. How many different outfits are possible?
  19. An outfit uses 1 of 9 shirts, 1 of 13 pants and 1 of 2 hats. How many different outfits are possible?
  20. An outfit uses 1 of 2 shirts, 1 of 9 pants and 1 of 6 hats. How many different outfits are possible?
More free practice: fieldbooklearning.com/au/practice/year-7/count-outcomes-with-the-counting-principle-three-choices/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

Answer key: Count outcomes with the counting principle: three choices

  1. 36
  2. 45
  3. 36
  4. 16
  5. 48
  6. 126
  7. 120
  8. 90
  9. 144
  10. 343
  11. 512
  12. 256
  13. 693
  14. 320
  15. 864
  16. 60
  17. 480
  18. 2340
  19. 234
  20. 108