Step 1: Understanding the Concept:
The question asks for a classification of the modes of divorce under Muslim personal law. The methods can be categorized based on who initiates the divorce or the manner in which it is obtained.
Step 2: Detailed Explanation:
The various methods of divorce in Muslim law can be broadly grouped into four main categories:
1. By the Husband: This includes different forms of \textit{Talaq} pronounced by the husband (e.g., Talaq-ul-Sunnat, Talaq-ul-Biddat).
2. By the Wife: This is possible if the right to divorce has been delegated to her by the husband (\textit{Talaq-e-Tafweez}).
3. By Mutual Consent: This includes \textit{Khula} (where the wife seeks divorce in return for giving up some consideration, usually her dower) and \textit{Mubarat} (divorce by mutual agreement).
4. By Judicial Decree: A court can dissolve the marriage on various grounds under the Dissolution of Muslim Marriages Act, 1939. This process is known as \textit{Faskh}.
This gives a comprehensive classification into four principal types.
Step 3: Final Answer:
Based on a broad classification of the modes of dissolution of marriage, there can be considered four types of divorce among Muslims.