And what if the user selects Fruits AND Vegetables? Would the list then list all Fruits and all Vegetables but no Meats?
If the user is only supposed to select a single value, use a radio button format to limit selections to a single value.
But with either a radio button or checkboxes format on this field, you can set up a conditional value list where the value or values selected in this field limit the values listed in the value list.
Here are some links on conditional value lists:
There's a lot of overlap between the first two links so you can read one and skim the other. The demo file gives you several examples of different conditional value lists so you can examine them to see how they are set up. If you are using FileMaker 12, you can open this demo file from your File menu to get a converted copy of the demo file that you can examine in FileMaker 12.
The last link discusses how to set up a chain of conditional value lists where the value selected in each conditional value list controls the values listed in the next value list.
Forum Tutorial: Custom Value List?
Knowledgebase article: http://help.filemaker.com/app/answers/detail/a_id/5833/kw/conditional%20value%20list
Hierarchical Conditional Value lists: Conditional Value List Question
Feel free to post follow up questions here if those links aren't enough to get your value lists working correctly.