Loose Change
In how many ways can you give change for a ten pence piece?
Problem
In how many ways can you give change for a ten pence piece?
(You can use 1p, 2p and 5p coins when giving change)
Student Solutions
Answer: 10 ways
Two 5ps: 5p + 5p
One 5p: 5p + 2p + 2p + 1p
5p + 2p + 1p + 1p + 1p
5p + 1p + 1p + 1p + 1p + 1p
No 5ps: 2p + 2p + 2p + 2p + 2p
2p + 2p + 2p + 2p + 1p + 1p
2p + 2p + 2p + 1p + 1p + 1p + 1p
2p + 2p + 1p + 1p+ 1p + 1p + 1p + 1p
2p + 1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p
1p + 1p+ 1p + 1p + 1p + 1p + 1p + 1p + 1p + 1p
Total 10 ways