What type of service allows guests to select food from a menu at breakfast?

A La Carte service is characterized by guests choosing individual items from a menu rather than selecting items from a fixed or limited set of offerings. This style allows patrons to personalize their meal by selecting specific dishes they want, often leading to a more tailored dining experience. In a breakfast setting, this could include choices such as specific eggs preparations, pastries, and beverages, ensuring that each guest receives exactly what they desire.

In contrast, Buffet Style typically features a self-serve setup where diners can fill their plates with predetermined selections from a display. Cocktail Service often involves small bites or hors d'oeuvres that are passed around or served at social events rather than a traditional meal setting. Family Style serves dishes that are placed on the table for guests to share, which differs from the personalized selection offered by A La Carte. Therefore, A La Carte is the correct answer as it represents the style of dining where individual menu choices can be made by each guest.