Step 1: Understanding the Concept:
In the calculation of planetary strength (Varga-bala), Maharṣi Parāśara defines various divisional systems. The most fundamental is the 'Ṣaḍvarga' (Six divisions). The order is based on the increasing granularity of the zodiacal divisions.
Step 2: Detailed Explanation:
The traditional order of Ṣaḍvarga as per Br̥hat Parāśara Hōrā Śāstra is:
1. Rāśi (Gr̥ha): The full sign of \(30^{\circ}\). This is the basic birth chart. (In the question, this is C).
2. Hōrā: Half of a sign (\(15^{\circ}\)). Used for wealth analysis. (In the question, this is B).
3. Drēkkāṇa: One-third of a sign (\(10^{\circ}\)). Used for siblings and courage. (In the question, this is D).
4. Navāṃśa: One-ninth of a sign (\(3^{\circ} 20'\)). Used for spouse and internal strength. (In the question, this is A).
5. Dvādaśāṃśa: One-twelfth of a sign (\(2^{\circ} 30'\)). Used for parents. (In the question, this is E).
6. Triṃśāṃśa: One-thirtieth of a sign (\(1^{\circ}\)). Used for character and misfortunes (Not listed in the options, but part of the group).
The correct sequence according to the options is:
C (Rāśi) \(\rightarrow\) B (Hōrā) \(\rightarrow\) D (Drēkkāṇa) \(\rightarrow\) A (Navāṃśa) \(\rightarrow\) E (Dvādaśāṃśa).
This sequence represents the standard mathematical progression found in all classical texts. If we look at the options:
- Option (4) provides the sequence C, B, D, A, E, which perfectly matches the traditional hierarchy.
Step 3: Final Answer:
The correct order is C, B, D, A, E.