We asked 100 CS majors whether they liked Python, Java, and/or Racket. 15 students didn't respond. 10 liked all three languages. ·13 liked Java and Racket, 25 liked Python and Racket, and 15 liked Java and Python. . Half the surveyed students indicated they like Python. Twice as many students indicated they liked Racket as liked Java. Note that when we say half liked Python, we mean that they liked Python and maybe other languages as well. Similarly, the 13 students that liked Java and Racket includes the 10 that indicated they like all three languages. (a) How many students liked Java and how many liked Racket? (b) How many students indicated they liked exactly one language?

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6

Fig: 7