ReasoningAges 16-18

Counting combinations

Apply the multiplication principle to count the total number of possible two-item combinations. Review suitability for your learners before teaching.

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Age band:Ages 13-15 Ages 16-18

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Worksheet StudioPractice pack · Ages 16-18

Counting combinations

Take your time. Show your thinking.

1. A café offers 3 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
3 s · 12 · 1 · 1 · Counting combinations
2. A café offers 6 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
6 s · 7 · 1 · 1 · Counting combinations
3. A café offers 5 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 7 · 1 · 1 · Counting combinations
4. A café offers 11 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 4 · 1 · 1 · Counting combinations
5. A café offers 4 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
4 s · 7 · 1 · 1 · Counting combinations
6. A café offers 5 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 4 · 1 · 1 · Counting combinations
7. A café offers 2 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
2 s · 5 · 1 · 1 · Counting combinations
8. A café offers 11 sandwich fillings and 11 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 11 · 1 · 1 · Counting combinations
9. A café offers 5 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 10 · 1 · 1 · Counting combinations
10. A café offers 4 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
4 s · 12 · 1 · 1 · Counting combinations
11. A café offers 11 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 6 · 1 · 1 · Counting combinations
12. A café offers 5 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 8 · 1 · 1 · Counting combinations

12 questions · Seed 42 · Age guidance, not curriculum certification

View the answer key

Worksheet StudioAnswer key · Ages 16-18

Counting combinations

Answers and reasoning. Review before teaching.

1. A café offers 3 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 3 × 12 = 36 combinations.
2. A café offers 6 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
42
By the multiplication principle, 6 × 7 = 42 combinations.
3. A café offers 5 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
35
By the multiplication principle, 5 × 7 = 35 combinations.
4. A café offers 11 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
44
By the multiplication principle, 11 × 4 = 44 combinations.
5. A café offers 4 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
28
By the multiplication principle, 4 × 7 = 28 combinations.
6. A café offers 5 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
20
By the multiplication principle, 5 × 4 = 20 combinations.
7. A café offers 2 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
10
By the multiplication principle, 2 × 5 = 10 combinations.
8. A café offers 11 sandwich fillings and 11 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
121
By the multiplication principle, 11 × 11 = 121 combinations.
9. A café offers 5 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
50
By the multiplication principle, 5 × 10 = 50 combinations.
10. A café offers 4 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
48
By the multiplication principle, 4 × 12 = 48 combinations.
11. A café offers 11 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
66
By the multiplication principle, 11 × 6 = 66 combinations.
12. A café offers 5 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
40
By the multiplication principle, 5 × 8 = 40 combinations.

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Counting combinations

Take your time. Show your thinking.

1. A café offers 3 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
3 s · 12 · 1 · 1 · Counting combinations
2. A café offers 6 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
6 s · 7 · 1 · 1 · Counting combinations
3. A café offers 5 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 7 · 1 · 1 · Counting combinations
4. A café offers 11 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 4 · 1 · 1 · Counting combinations
5. A café offers 4 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
4 s · 7 · 1 · 1 · Counting combinations
6. A café offers 5 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 4 · 1 · 1 · Counting combinations
7. A café offers 2 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
2 s · 5 · 1 · 1 · Counting combinations
8. A café offers 11 sandwich fillings and 11 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 11 · 1 · 1 · Counting combinations
9. A café offers 5 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 10 · 1 · 1 · Counting combinations
10. A café offers 4 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
4 s · 12 · 1 · 1 · Counting combinations
11. A café offers 11 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 6 · 1 · 1 · Counting combinations
12. A café offers 5 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
5 s · 8 · 1 · 1 · Counting combinations

12 questions · Seed 42 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Counting combinations

Answers and reasoning. Review before teaching.

1. A café offers 3 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 3 × 12 = 36 combinations.
2. A café offers 6 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
42
By the multiplication principle, 6 × 7 = 42 combinations.
3. A café offers 5 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
35
By the multiplication principle, 5 × 7 = 35 combinations.
4. A café offers 11 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
44
By the multiplication principle, 11 × 4 = 44 combinations.
5. A café offers 4 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
28
By the multiplication principle, 4 × 7 = 28 combinations.
6. A café offers 5 sandwich fillings and 4 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
20
By the multiplication principle, 5 × 4 = 20 combinations.
7. A café offers 2 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
10
By the multiplication principle, 2 × 5 = 10 combinations.
8. A café offers 11 sandwich fillings and 11 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
121
By the multiplication principle, 11 × 11 = 121 combinations.
9. A café offers 5 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
50
By the multiplication principle, 5 × 10 = 50 combinations.
10. A café offers 4 sandwich fillings and 12 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
48
By the multiplication principle, 4 × 12 = 48 combinations.
11. A café offers 11 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
66
By the multiplication principle, 11 × 6 = 66 combinations.
12. A café offers 5 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
40
By the multiplication principle, 5 × 8 = 40 combinations.

12 questions · Seed 42 · Age guidance, not curriculum certification