Mehadrin min hamehadrin according to the Rama is for each person to light from 1 to 8. According to the Rambam 1 person lights from 1 to 8. The Brisker Rav explains that their machloket is based on whether one can accomplish hiddur mitzvah after the main obligation has been fulfilled.
Recorded at OU Israel’s L’Ayla Rosh Chodesh Women’s Event