Solution:The chronological order of establishment of the given institutions is:
E. Ayurveda Pharmacopeia – 1962, established to set standards for Ayurvedic formulations.
C. Central Council of Indian Medicine (CCIM) - 1971, for regulation of education and practice in Ayurveda, Unani, and Siddha systems.
D. Central Council of Homeopathy (CCH) - 1973, to regulate homeopathy education and practice.
A. National Institute of Unani Medicine (NIUM), Bangalore - 1984, a premier postgraduate Unani medical institute.
B. Ministry of AYUSH – 2014, established to promote traditional systems of medicine. Hence, the correct order is E, C, D, A, В.