68 boarders of a senior High school indicated their choice for Rice, Gari and Kenkey on the school's menu. 30 said they liked rice, 50 liked Gari while 24 said they liked Kenkey. 10 said they like both Gari and Kenkey. 14 liked both rice and Kenkey and 22 said they liked rice and Gari. Find the number of boarders who: (i) liked all three food items (ii) liked only one of the three food items. (iii) liked only two of the three food items.
