Step 1: Understanding the Concept:
In the Pañcāṅga, 'Yōga' is the sum of the longitudes of the Sun and the Moon, divided into 27 equal segments of $13^{\circ}20'$ each. There are 27 such 'Nitya Yōgas', and they follow a fixed sequence starting from the first degree of the zodiac. Each yoga represents a specific quality of time and influences the temperament of an individual born under its influence.
Step 2: Detailed Explanation:
To arrange the options, we must look at the traditional list of the 27 yogas:
1. Viṣkumbha (C): The 1st yoga. It means 'a pot of poison'. Though its name is fierce, it is a common starting point for the cycle.
2. Prīti (B): The 2nd yoga. It means 'love' or 'affection'. It is a very auspicious yoga.
3. Āyuṣmān (E): The 3rd yoga. It means 'possessing longevity'. It is excellent for health and vitality.
4. Saubhāgya (A): The 4th yoga. It means 'good fortune' or 'luck'. It is considered highly beneficial for marriage and prosperity.
5. Śōbhana (D): The 5th yoga. It means 'splendid' or 'beautiful'. It indicates a virtuous and radiant personality.
The sequence of the letters provided in the question, corresponding to the numbers 1 through 5, is:
1 \(\rightarrow\) C
2 \(\rightarrow\) B
3 \(\rightarrow\) E
4 \(\rightarrow\) A
5 \(\rightarrow\) D
Thus, the correct arrangement is C, B, E, A, D. These yogas are used in daily predictions and 'Muhurta' selection. For example, the first part of Viṣkumbha is avoided for auspicious work, while yogas like Prīti and Saubhāgya are preferred for almost all positive ceremonies. The calculation involves adding the Nirayana longitudes of the Sun and Moon and dividing the total by 800 minutes (which is $13^{\circ}20'$).
Step 3: Final Answer:
The correct traditional sequence of the yogas provided is C, B, E, A, D.