Question: Wellesley College and Vanderbilt University are both what?
Context: The Wellesley College Botanic Gardens (22 acres) are botanical gardens located on the campus of Wellesley College in Wellesley, Massachusetts.  They are open daily without charge. Vanderbilt University School of Nursing (VUSN) is one of the graduate schools of Vanderbilt University, located in Nashville, Tennessee.  VUSN enjoys a close relationship with its university parent and with the separate nonprofit Vanderbilt University Medical Center, known for its highly acclaimed teaching hospital and groundbreaking efforts in electronic medical records.  The School of Nursing is ranked, along with the Vanderbilt University School of Medicine, in the top 20 in the U.S. News & World Report rankings. Whitin Observatory is an astronomical observatory owned and operated by Wellesley College.  Built in 1900, with additions in 1906, 1967, and 20102011, it is located in Wellesley, Massachusetts and named after Wellesley College trustee Mrs. John Crane Whitin (Sarah Elizabeth Whitin) of Whitinsville, who donated the funds for the observatory.  Astronomer Sarah Frances Whiting was the first director of the new Wellesley College Astronomy Department. The 2011 Vanderbilt Commodores football team represented Vanderbilt University during the 2011 NCAA Division I FBS football season.  The Commodores played their seven home games at Vanderbilt Stadium at Dudley Field in Nashville, Tennessee, which has been Vanderbilt football's home stadium since 1922.  The team's head coach was James Franklin, who was in his first year at Vanderbilt.  Hired at Vanderbilt on December 17, 2010, he was previously the offensive coordinator and "head coach in waiting" at the University of Maryland.  Vanderbilt has been a member of the Southeastern Conference (SEC) since the league's inception in 1932, and has participated in the conference's Eastern Division since its formation for the 1992 season.  Vanderbilt completed the 2011 regular season with an overall record of 6–6 and a mark of 2–6 in conference play, finishing in a tie with Kentucky for fourth place in the SEC East.  They were invited to the Liberty Bowl where they were defeated by Cincinnati 24–31 to finish the season 6–7.  2011.  The seniors of the 2011 Vanderbilt football team became the first class in program history to qualify for two bowl game's while at the school.  Vanderbilt had only been to bowls in 1955 VS Auburn, 1974 VS Texas Tech, 1982 VS Air Force, and 2008 VS Boston College. The 2012 Vanderbilt Commodores football team represented Vanderbilt University during the 2012 NCAA Division I FBS football season.  (variously "VU" "Vandy" Vanderbilt "Dores") The Commodores played their six home games at Vanderbilt Stadium at Dudley Field in Nashville, Tennessee, which has been Vanderbilt football's home stadium since 1922.  The team's head coach was James Franklin, who is in his second year at Vanderbilt.  Vanderbilt has been a member of the Southeastern Conference (SEC) since the league's inception in 1932, and has participated in the conference's Eastern Division since its formation for the 1992 season.  On November 11, 2012 Vandy became bowl eligible in back to back years for the first time in its 123-year football history.  This was the first time since 1935 that Vandy won five SEC games in a year and the first time in 30 years that they won at home against Tennessee.  Vanderbilt finished the year with the longest current SEC winning streak.  For the first time since 1948, Vanderbilt finished the season with a top 25 ranking. Vanderbilt University School of Medicine is a medical school located in Nashville, Tennessee.  Located in the Vanderbilt University Medical Center on the southeastern side of the Vanderbilt University campus, the School of Medicine claims two Nobel laureates: Earl Wilbur Sutherland, Jr., in 1971, for his discovery of the metabolic regulating compound cyclic AMP, and Stanley Cohen, in 1986, for his discovery with a colleague of epidermal growth factor. Vanderbilt University (also known informally as Vandy) is a private research university located in Nashville, Tennessee.  Founded in 1873, it was named in honor of shipping and rail magnate Cornelius Vanderbilt, who provided the school its initial $1 million endowment despite having never been to the South.  Vanderbilt hoped that his gift and the greater work of the university would help to heal the sectional wounds inflicted by the Civil War. Vanderbilt University Law School (also known as Vanderbilt Law School or VLS) is a graduate school of Vanderbilt University.  Established in 1874, it is one of the oldest law schools in the southern United States.  Vanderbilt Law has consistently ranked among the top 20 law schools in the nation, and is currently ranked 17th in the 2018 edition of "U.S. News & World Report".  Vanderbilt Law School enrolls approximately 640 students, with each entering Juris Doctor class consisting of approximately 175 students. Alan Schechter (born 1936) is a Professor Emeritus of Political Science at Wellesley College in Massachusetts.  He was educated at Amherst College, where he received his AB, and at Columbia University, where he earned his PhD.  He is a distinguished and award-winning political scientist.  He was also Hillary Rodham's advisor during her years at Wellesley College and supervised her senior thesis; Susan Estrich's book "The Case for Hillary Clinton" mentions her experience also writing an honors thesis for Professor Schechter (at a different time).  He remains involved with the college, running the Wellesley in Washington internship program, in which Rodham participated as a student and which continues to send approximately twenty women to Washington for internships each summer.  Professor Schechter is the former Chairman, Vice-Chairman, and member of the J. William Fulbright Foreign Scholarship Board (Fulbright Program), a Presidential appointment. Wellesley College is a private women's liberal arts college located west of Boston in the town of Wellesley, Massachusetts, United States.  Founded in 1870 by Henry and Pauline Durant, it is a member of the original Seven Sisters Colleges.  Wellesley is home to 56 departmental and interdepartmental majors spanning the liberal arts, as well as over 150 student clubs and organizations.  The college is also known for allowing its students to cross-register at Massachusetts Institute of Technology, Brandeis University, Babson College and Franklin W. Olin College of Engineering.  Wellesley athletes compete in the NCAA Division III New England Women's and Men's Athletic Conference.
Answer: private