To solve this problem, we need to arrange the planets based on their orbital periods in ascending order. This means we start with the planet that has the smallest orbital period and proceed to the planet with the largest orbital period.
Let's list the orbital periods for each planet:
- Planet A: 600 days
- Planet B: 80 days
- Planet C: 1000 days
- Planet D: 500 days
- Planet E: 100 days
To arrange them in ascending order, we compare their orbital periods:
1. Planet B has the smallest orbital period of 80 days.
2. Next is Planet E with an orbital period of 100 days.
3. Then we have Planet D with an orbital period of 500 days.
4. Following that is Planet A with an orbital period of 600 days.
5. Finally, Planet C has the largest orbital period of 1000 days.
Thus, the planets ordered by their orbital periods from shortest to longest are:
- B (80 days)
- E (100 days)
- D (500 days)
- A (600 days)
- C (1000 days)
Therefore, the order in which the planets should be placed in their orbits is as follows:
[tex]\[ \{ \text{B, E, D, A, C} \} \][/tex]
This ordered list represents the planets sorted by their orbital periods in ascending order.
