Solve the following as systematically as possible. Show your complete solutions. Simplify your final answers.

1. In a survey of 200 sophomore ECE students of PLM, 9 liked classical music, rock music, and light opera; 2? liked classical music and rock music; 33 liked rock music and light opera; 30 liked classical music and light opera; T2 liked classical music; 80 liked rock music; 93 liked light opera. a. Construct a Venn diagram Representation to organize the given data. b. How many liked rock music only? 0. How many liked rock and classical but not light opera? d. How many liked classical and light opera but not rock music? e. How many liked rock or light opera? f. How many liked at least one type of music? g. How many liked at least two types of music