This study aims to demonstrate that a 2-dose regimen of the 9-Valent Human Papillomavirus (9vHPV) vaccine (GARDASIL™9, V503) induces non-inferior competitive Luminex immunoassay (cLIA) geometric mean titers (GMTs) to each of the 9vHPV vaccine types in Chinese girls 9 through 14 years of age compared to a 3-dose regimen in Chinese women 20 through 26 years of age. The primary hypothesis is that a 2-dose regimen has a non-inferiority margin of 0.67 in the GMT ratio (girls vs. women) for each HPV type.