The worksheets themselves are in German – just as in class. The editor is only available in German so far.
Combinations – worksheets to print
Find all the possibilities, e.g. how many towers you can build from three blocks.
- Choose the number of tasks and the difficulty yourself
- With an answer sheet and, if you like, a QR code to the answers
- At three levels (★ to ★★★) and as group A and B
- As a single worksheet or as a task on a mixed worksheet
Combinations: explained simply
Find all possible combinations or arrangements. Working systematically helps you avoid missing or counting possibilities twice.
How to work it out
- Keep the first choice fixed and list every allowed second choice. Only then change the first choice.
- Check whether order matters and whether items may be reused. These rules determine which possibilities are different.
An example, step by step
You have 2 T-shirts and 3 pairs of trousers. How many outfits with one of each can you make?
- The first T-shirt goes with all 3 pairs of trousers: 3 outfits.
- The second T-shirt also goes with all 3: another 3 outfits.
- Altogether 2 · 3 = 6 outfits. A table with 2 rows and 3 columns shows them all.
Understand other variations
Arrangements and pairs
For towers, colour order may matter: red above blue differs from blue above red. For handshakes, Anna–Ben is the same pair as Ben–Anna, so count it once. Also follow rules such as “without repetition”.
Your turn
3 drinks and 2 snacks: how many combinations with one drink and one snack are there?
Show the answer and method
Each drink goes with 2 snacks: 3 · 2 = 6 combinations.
Ready-made worksheets: Combinations
Click the picture to see the worksheet large and print it. “Use” opens it in the editor.