Answer to Question #272819 in Math for zey

Question

35 track and field athletes from Luzon competed in the North-Phil Olympics. 18 competed in the 100-meter dash, 17 in the relay race, and 16 in the hurdles. Five competed in both hurdles and 100-meter dash events, six in both relay race and hurdles, seven in both 100-meter dash and relay race. Only two athletes competed in all three events. How many athletes competed in the following? In the Venn diagram, let D represent 100-meter dash, R represent relay race, and H represent hurdles.