Concept:
This question tests core terminology, key personalities, artifact provenance, and interdisciplinary fields in ancient Indian history and Harappan studies.
Matching each item requires linking historical terms and archaeological concepts to their respective designations.
Step 1: Analyzing and Matching Each Item:
Item A: The study of ancient population genetics and ancient DNA (aDNA) to understand human evolutionary lineages and migration patterns is termed Archaeogenetics. Therefore, A pairs with IV.
Item B: Alexander Cunningham was appointed the first Director-General of the Archaeological Survey of India (ASI) in 1871. Therefore, B pairs with III.
Item C: The famous steatite stone sculpture depicting a bearded figure draped in an embroidered shawl, conventionally designated as the 'Priest-king', was excavated at Mohenjodaro. Therefore, C pairs with I.
Item D: Individuals in traditional and ancient societies who claim to possess healing powers, communicate with spirits, and wield magical capabilities are identified as Shamans. Therefore, D pairs with II.
Step 2: Compiling the Final Sequence:
Matching A with IV, B with III, C with I, and D with II produces the sequence: A - IV, B - III, C - I, D - II.
Final Answer:
Thus, the correct option is (C) A - IV, B - III, C - I, D - II.