Question: Are University of Patras and Manhattan College both public universities?

<P0-S0> University of Patras (UPatras; Greek: Πανεπιστήμιο Πατρών , "Panepistímio Patrón") is a public university in Patras, Greece. <P0-S1>  It is the third largest university in Greece with respect to the size of the student body, the staff, and the number of departments. <SEP> <P1-S0> Manhattan College is a private, independent, Roman Catholic, liberal arts college located in the Bronx, New York City, United States. <P1-S1>  After originally being established in 1853 by the Brothers of the Christian Schools (De La Salle Christian Brothers) as an academy for day students, Manhattan College was officially incorporated as an institution of higher education through a charter granted by the New York State Board of Regents. <P1-S2>  In 1922, the College moved from Manhattan to the Riverdale section of the Bronx, roughly 6.4 mi north of its original location on 131st Street in the Manhattanville section of Manhattan. <P1-S3>  Manhattan College offers undergraduate programs in the arts, business, education, health, engineering, and science. <P1-S4>  Graduate programs are offered for education, business, and engineering. <P1-S5>  "U.S. News & World Report" lists Manhattan as one of the top 20 colleges in the Regional Universities North category. <P1-S6>  In addition, Manhattan consistently ranks in the top twenty in surveys that evaluate return on investment. <P1-S7>  In the 2014–2015 Payscale.com College Return on Investment survey, Manhattan placed 15th nationally. <SEP> <P2-S0> Medical & Dental College Admission Test (MDCAT) is a test conducted in Pakistan every year for Pre-medical students and is conducted by the University of Health Sciences (Lahore), Liaquat University of Medical and Health Sciences, Jinnah Sindh Medical University, Karachi Medical and Dental college, Peoples University of Medical and Health Sciences for Women and further five more (public) universities and 14 (private) universities in Sindh total registered public universities are 10 and private 14 in Sindh for more information regarding universities of Pakistan see the List of medical schools in Pakistan . <P2-S1>  Previously, its name was "'Medical College Admission Test (MCAT)'" and new name was assigned in 2017. <P2-S2>  MDCAT or MCAT is pre-requisite for admission in all Medical college both private sector or public. <P2-S3>  However, being selected in Public/Government college is more challenge able for students as many students apply for Public colleges as their first desire due to more facilities and highly developed education in Public/Government college. <SEP> <P3-S0> University Regional General Hospital of Patras (Greek: Πανεπιστημιακό Γενικό Νοσοκομείο Πατρών ), is a public general Hospital located next to the University of Patras in Rio, Greece, just few kilometers away from the city of Patras. <P3-S1> The construction of the hospital was completed in 1988 and a few months later it began operation. <P3-S2>  It is part of the ESY (Greek: ΕΣΥ - Εθνικό Σύστημα Υγείας), the National Healthcare System of Greece. <P3-S3>  It was renamed "General University Hospital of Patras - All Holy Theotokos the Helper " (Greek: Πανεπιστημιακό Γενικό Νοσοκομείο Πατρών Παναγία η Βοήθεια ) in July 2009.