Final answer:
Arizona Cleaver Stemons was the first person to approach the administration of Howard University for permission to establish Zeta Phi Beta Sorority on campus. Zeta Phi Beta was founded in 1920 and is part of the National Pan-Hellenic Council.
Step-by-step explanation:
The first person to approach the administration of Howard University to establish the Zeta Phi Beta Sorority on campus was Arizona Cleaver Stemons. Zeta Phi Beta was founded on January 16, 1920, by Arizona Cleaver Stemons along with Pearl A. Neal, Myrtle Tyler Faithful, Viola Tyler Goings, and Fannie Pettie Watts. This sorority became a part of the National Pan-Hellenic Council, which is the collaborative organization that includes nine International Greek fraternities and sororities, historically serving the African American community.
This initiative and the significance of Howard University as a site of higher learning and social change highlight the broader history of African American education and its impact, including the transformative efforts put forth by other notable individuals such as Mary McLeod Bethune and Booker T. Washington in advocating for and advancing the educational opportunities for African Americans.