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Count outcomes with lists, grids and the counting principle

7th grade (Year 8 in England) · 16 questions · Common Core: 7.SP.C.8.B · England: KS3 Probability, GCSE Foundation Probability

Name

Date

Score/ 16

  1. Question 1

    3 friends line up for a photo. In how many different orders can they stand?

    Answer

  2. Question 2

    A café offers 3 wraps, 2 drinks and 5 fruit pots. A meal deal is one of each. How many different meal deals are there?

    Answer

  3. Question 3

    A locker code has 2 digits (0–9). Repeats are allowed. How many different codes are possible?

    Answer

  4. Question 4

    3 friends line up for a photo. In how many different orders can they stand?

    Answer

  5. Question 5

    A café offers 5 wraps, 3 drinks and 2 fruit pots. A meal deal is one of each. How many different meal deals are there?

    Answer

  6. Question 6

    A locker code has 4 letters (A–Z). Repeats are allowed. How many different codes are possible?

    Answer

  7. Question 7

    6 friends line up for a photo. In how many different orders can they stand?

    Answer

  8. Question 8

    A café offers 4 wraps, 6 drinks and 3 fruit pots. A meal deal is one of each. How many different meal deals are there?

    Answer

  9. Question 9

    A locker code has 3 letters (A–Z). Repeats are allowed. How many different codes are possible?

    Answer

  10. Question 10

    5 friends line up for a photo. In how many different orders can they stand?

    Answer

  11. Question 11

    A café offers 6 wraps, 4 drinks and 3 fruit pots. A meal deal is one of each. How many different meal deals are there?

    Answer

  12. Question 12

    A locker code has 3 digits (0–9). Repeats are allowed. How many different codes are possible?

    Answer

  13. Question 13

    5 friends line up for a photo. In how many different orders can they stand?

    Answer

  14. Question 14

    A café offers 3 wraps, 4 drinks and 4 fruit pots. A meal deal is one of each. How many different meal deals are there?

    Answer

  15. Question 15

    A locker code has 4 letters (A–Z). Repeats are allowed. How many different codes are possible?

    Answer

  16. Question 16

    5 friends line up for a photo. In how many different orders can they stand?

    Answer

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Answer key: Count outcomes with lists, grids and the counting principle

  1. 1. 6

  2. 2. 30

  3. 3. 100

  4. 4. 6

  5. 5. 30

  6. 6. 456976

  7. 7. 720

  8. 8. 72

  9. 9. 17576

  10. 10. 120

  11. 11. 72

  12. 12. 1000

  13. 13. 120

  14. 14. 48

  15. 15. 456976

  16. 16. 120