**Introduction:**
The statement in question is asking whether any type of regime can fully and permanently resolve conflicts among different groups. Among the given options, the correct answer is option 'C', which states that no regime can fully and permanently resolve conflicts among different groups. This answer highlights the inherent complexities and challenges associated with resolving conflicts in diverse societies.

**Explanation:**

**1. Democracies:**
- Democracies are based on the principles of inclusion, equality, and participation of citizens in decision-making processes.
- While democracies provide avenues for peaceful negotiation and compromise, they do not guarantee the complete elimination of conflicts.
- Different groups within a democracy may have diverse interests, beliefs, and values, which can lead to ongoing tensions and disagreements.
- Conflicts can arise due to competition for resources, power struggles, ideological differences, or cultural clashes.
- Democracies may have mechanisms in place such as elections, legislation, and judicial systems to manage conflicts, but they cannot fully eliminate them.

**2. Dictatorships:**
- Dictatorships are characterized by an authoritarian ruler or a small group of individuals holding absolute power.
- While dictatorships may impose strict control and suppress dissent, they do not provide a sustainable resolution to conflicts among different groups.
- Dictatorships often rely on force, coercion, and repression to maintain control, which can exacerbate tensions and lead to further conflicts.
- The suppression of diverse voices and perspectives can create a volatile environment where conflicts remain unresolved and may even escalate.

**3. No regime can fully and permanently resolve conflicts:**
- Conflicts among different groups are deeply rooted in societal divisions, varying interests, historical grievances, and complex dynamics.
- Resolving conflicts requires addressing underlying causes, promoting dialogue, understanding, empathy, and finding mutually acceptable solutions.
- Even with the best intentions and efforts, complete and permanent resolution of conflicts is challenging, if not impossible.
- Societies are dynamic, and new conflicts can emerge over time due to changing circumstances, evolving identities, and shifting power dynamics.
- Therefore, no regime, whether democratic or dictatorial, can fully and permanently resolve conflicts among different groups.

**Conclusion:**
In conclusion, the correct statement is option 'C', which states that no regime can fully and permanently resolve conflicts among different groups. Conflicts are inherent in diverse societies, and while different regimes may employ various mechanisms to manage conflicts, achieving complete and lasting resolution is a complex and ongoing process.