Just because a vegetable oil is classified as mono-unsaturated or polyunsaturated doesn't mean it doesn't contain saturated fats. This classification is based on the predominant oil. All oils are a combination of saturated, mono-unsaturated, and polyunsaturated oils. What's most important to the cholesterol watcher is the percentage that is saturated. The worst offenders are the tropical oils, including the widely used coconut and palm kernel oils. They contain an even higher percentage of saturated fats than does butter.