In a covered small saucepan cook carrots in a small amount of boiling water for 6 to 8 minutes or until tender; drain. In a food processor combine cooked carrots, garbanzo beans, tahini, lemon juice, garlic, cumin, and salt. Cover and process until mixture is smooth. Transfer to a small serving bowl. Stir in parsley.
Cover with plastic wrap or foil and chill for at least 1 hour or for up to 3 days. If too thick, stir in enough water, 1 tablespoon at a time, until dipping consistency. Serve with assorted dippers. Makes 2 cups, 16 (2-tablespoon) servings.