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.

New variation Try interactive challenge Browse templates

Age band:Ages 13-15 Ages 16-18

Choose “Save as PDF” to keep a copy. Use your browser’s paper setting for A4 or Letter.

Worksheet StudioPractice pack · Ages 16-18

Counting combinations

Take your time. Show your thinking.

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

12 questions · Seed 104733 · 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 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
30
By the multiplication principle, 3 × 10 = 30 combinations.
2. A café offers 9 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
45
By the multiplication principle, 9 × 5 = 45 combinations.
3. A café offers 7 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
21
By the multiplication principle, 7 × 3 = 21 combinations.
4. A café offers 7 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
14
By the multiplication principle, 7 × 2 = 14 combinations.
5. A café offers 6 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 6 × 6 = 36 combinations.
6. A café offers 7 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
35
By the multiplication principle, 7 × 5 = 35 combinations.
7. A café offers 11 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
22
By the multiplication principle, 11 × 2 = 22 combinations.
8. A café offers 12 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
84
By the multiplication principle, 12 × 7 = 84 combinations.
9. A café offers 8 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
16
By the multiplication principle, 8 × 2 = 16 combinations.
10. A café offers 12 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
96
By the multiplication principle, 12 × 8 = 96 combinations.
11. A café offers 10 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
20
By the multiplication principle, 10 × 2 = 20 combinations.
12. A café offers 10 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
70
By the multiplication principle, 10 × 7 = 70 combinations.

12 questions · Seed 104733 · 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 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
3 s · 10 · 1 · 1 · Counting combinations
2. A café offers 9 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
9 s · 5 · 1 · 1 · Counting combinations
3. A café offers 7 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
7 s · 3 · 1 · 1 · Counting combinations
4. A café offers 7 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
7 s · 2 · 1 · 1 · Counting combinations
5. A café offers 6 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
6 s · 6 · 1 · 1 · Counting combinations
6. A café offers 7 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
7 s · 5 · 1 · 1 · Counting combinations
7. A café offers 11 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
11 s · 2 · 1 · 1 · Counting combinations
8. A café offers 12 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
12 s · 7 · 1 · 1 · Counting combinations
9. A café offers 8 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
8 s · 2 · 1 · 1 · Counting combinations
10. A café offers 12 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
12 s · 8 · 1 · 1 · Counting combinations
11. A café offers 10 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
10 s · 2 · 1 · 1 · Counting combinations
12. A café offers 10 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
10 s · 7 · 1 · 1 · Counting combinations

12 questions · Seed 104733 · 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 10 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
30
By the multiplication principle, 3 × 10 = 30 combinations.
2. A café offers 9 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
45
By the multiplication principle, 9 × 5 = 45 combinations.
3. A café offers 7 sandwich fillings and 3 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
21
By the multiplication principle, 7 × 3 = 21 combinations.
4. A café offers 7 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
14
By the multiplication principle, 7 × 2 = 14 combinations.
5. A café offers 6 sandwich fillings and 6 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
36
By the multiplication principle, 6 × 6 = 36 combinations.
6. A café offers 7 sandwich fillings and 5 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
35
By the multiplication principle, 7 × 5 = 35 combinations.
7. A café offers 11 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
22
By the multiplication principle, 11 × 2 = 22 combinations.
8. A café offers 12 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
84
By the multiplication principle, 12 × 7 = 84 combinations.
9. A café offers 8 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
16
By the multiplication principle, 8 × 2 = 16 combinations.
10. A café offers 12 sandwich fillings and 8 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
96
By the multiplication principle, 12 × 8 = 96 combinations.
11. A café offers 10 sandwich fillings and 2 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
20
By the multiplication principle, 10 × 2 = 20 combinations.
12. A café offers 10 sandwich fillings and 7 drink choices. How many different 1-sandwich and 1-drink meal combinations are possible?
70
By the multiplication principle, 10 × 7 = 70 combinations.

12 questions · Seed 104733 · Age guidance, not curriculum certification