Many schools including ours have students that are biracial. To properly represent this data there should really be 2 separate sets of checkboxes that allow the selection of more than one item for each student. The first set of checkboxes would provide the optional capability to choose one or more of the following ethnic groups: latino/hispanic, middle eastern, indian, american indian, pacific islander. The second set of checkboxes would provide the optional capability to choose one or more of the following races: white (caucasian), black, asian.
These could even be combined into one. But it minimizes the need to come up with an infinite number of combinations.