Answer:
- There are 10 different combinations
- The list of different combinations is:
(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),
(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)
Explanation:
The possible combinations are:
1. Assuming the first coin is 10p:
- (10p, 1p)
- (10p, 50p)
- (10p, 2p)
- (10p, 20p)
2. Asuming the first coin is 1p
Do not count (1p, 10p) as it is the same combination as (10p, 1p)
- (1p, 50p)
- (1p, 2p)
- (1p, 20p)
3. Assuming the first coin is 50p:
Do not count (50p, 10p) nor (50p, 1p) as they are the same combinations (10p, 50p) and (1p, 50p) counted earlier:
4. Assuming the first coin is 2p:
The only new combination is:
5. All the combinations with 20p have already been listed.
Therefore:
- There are 4 + 3 + 2 + 1 = 10 different combinations
- The list of different combinations is:
(10p, 1p), (10p, 50p), (10p, 2p), (10p, 20p), (1p, 50p), (1p, 2p),
(1p, 20p), (50p, 2p), (50p, 20p), (2p, 20p)
