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

12 questions · Seed 104738 · 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 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.
2. A café offers 12 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
120
By the multiplication principle, 12 × 10 = 120 combinations.
3. A café offers 2 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
16
By the multiplication principle, 2 × 8 = 16 combinations.
4. 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.
5. A café offers 4 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
8
By the multiplication principle, 4 × 2 = 8 combinations.
6. A café offers 11 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
110
By the multiplication principle, 11 × 10 = 110 combinations.
7. A café offers 2 sandwich fillings and 9 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
18
By the multiplication principle, 2 × 9 = 18 combinations.
8. A café offers 12 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 12 × 3 = 36 combinations.
9. A café offers 12 sandwich fillings and 9 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
108
By the multiplication principle, 12 × 9 = 108 combinations.
10. A café offers 3 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
9
By the multiplication principle, 3 × 3 = 9 combinations.
11. A café offers 9 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
90
By the multiplication principle, 9 × 10 = 90 combinations.
12. A café offers 4 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
40
By the multiplication principle, 4 × 10 = 40 combinations.

12 questions · Seed 104738 · Age guidance, not curriculum certification

Worksheet StudioPractice pack · Ages 16-18

Counting combinations

Take your time. Show your thinking.

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

12 questions · Seed 104738 · Age guidance, not curriculum certification

Worksheet StudioAnswer key · Ages 16-18

Counting combinations

Answers and reasoning. Review before teaching.

1. 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.
2. A café offers 12 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
120
By the multiplication principle, 12 × 10 = 120 combinations.
3. A café offers 2 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
16
By the multiplication principle, 2 × 8 = 16 combinations.
4. 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.
5. A café offers 4 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
8
By the multiplication principle, 4 × 2 = 8 combinations.
6. A café offers 11 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
110
By the multiplication principle, 11 × 10 = 110 combinations.
7. A café offers 2 sandwich fillings and 9 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
18
By the multiplication principle, 2 × 9 = 18 combinations.
8. A café offers 12 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 12 × 3 = 36 combinations.
9. A café offers 12 sandwich fillings and 9 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
108
By the multiplication principle, 12 × 9 = 108 combinations.
10. A café offers 3 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
9
By the multiplication principle, 3 × 3 = 9 combinations.
11. A café offers 9 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
90
By the multiplication principle, 9 × 10 = 90 combinations.
12. A café offers 4 sandwich fillings and 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
40
By the multiplication principle, 4 × 10 = 40 combinations.

12 questions · Seed 104738 · Age guidance, not curriculum certification