Question

part of his project, a final year studont of Music, interviewed some undergraduate students on the type of Music they liked listening to, 30 likes listening to Jazz, 20 liked listening to Reggae while 20-also liked listening to Fink. 10 students liked listening to Jazz and Reggae, 10 liked listening to Jaz and Funk while 9 students liked listening to Reggae and Funk. If 3 students liked listening to all the three types of Music and 32 did not like listening to any of the three types of Music, find:
(1) the number that liked listening to Jazz only; (in) the number that liked listening to Reggae only;
(iii) the total number of undergraduate students that were interviewed (iv) the number that liked listening to Jazz and Reggae only;
(v) the number that liked listening to Funk and Jazz only;

Answer 1

so, if you know anything about Venn diagrams, you can see that those who liked
only J&R = 10-3 = 7
only R&F = 9-3 = 6
only J&F = 10-3 = 7
only J = 30-(10+10)+3 = 13
only R = 20-(10+9)+3 = 14
only F = 20-(10+9)+3 = 4
The answers should be clear now.