Clue 1:
Beta-9 is the furthest planet from the star.
→ So, Beta-9 = planet 7
Clue 2:
There are three planets between Romulus and Alpha-4.
→ Possible pairs with 3 planets between them:
- (1 & 5), (2 & 6), (3 & 7), (5 & 1), (6 & 2), (7 & 3)
Clue 3:
There are four planets between Beta-9 and Alpha-4.
We already know Beta-9 = 7, so Alpha-4 must be planet 2
→ (2 and 7 have 4 in between)
Clue 4:
There are four planets between Romulus and Skye.
→ Possible pairs:
- (1 & 6), (2 & 7), (6 & 1), (7 & 2)
Clue 5:
Dusty is between Remus and Felix.
So:
- If Felix is at 1 and Remus is at 3, Dusty is at 2.
- Dusty must be numerically between the other two.
Clue 6:
Felix is closer to the star than Remus.
→ Felix must be on a lower-numbered orbit than Remus.
Using Clue 3 (Alpha-4 = 2) and Clue 1 (Beta-9 = 7)
Confirmed:
- Alpha-4 = 2
- Beta-9 = 7
Now Clue 2: 3 between Romulus and Alpha-4 (which is 2)
→ So Romulus must be at position 6 (positions between 2 and 6 are 3: 3, 4, 5)
So far:
- Beta-9 = 7
- Alpha-4 = 2
- Romulus = 6
Clue 4: 4 between Romulus (6) and Skye
→ So Skye = 1 (positions 2, 3, 4, 5 are between 1 and 6)
So far:
- Beta-9 = 7
- Alpha-4 = 2
- Romulus = 6
- Skye = 1
Clue 6: Felix is closer to the star than Remus
→ Felix < Remus
Clue 5: Dusty is between Remus and Felix
Let’s test combinations:
Try Felix = 3, Dusty = 4, Remus = 5
→ F < D < R ✓
Positions available: 3, 4, 5 (yes, available)
So we try:
- Felix = 3
- Dusty = 4
- Remus = 5
Now assign all:
Planet Number | Name |
---|---|
1 | Skye |
2 | Alpha-4 |
3 | Felix |
4 | Dusty |
5 | Remus |
6 | Romulus |
7 | Beta-9 |