i need help with this problem my answer 306 but i dont think my answer is right can you help me

A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 204 like rock,164 like country, and 129 like jazz. Moreover, 24 like rock and country, 29 like rock and jazz, 29 like country and jazz, and 9 like all three types of music. How many students surveyed liked exactly one of the three types of music? (Note: A Venn diagram may be useful here.) a) 200 b) 500 c) 140 d) 360 e) 9