COUNTRY AND WESTERN SONGS (For use with Rolf, section 6.2)

28 country and western songs played on a local radio station were surveyed as to content, regarding the themes of TRUCKERS, LOVE, and PRISON, with these results:
2 songs were about an imprisoned trucker who was in love
(i.e., 2 songs involved all 3 themes)

7 songs were about truckers who were in love
9 songs were about lovers not in prison
(i.e., 9 songs involved the theme of love but not the theme of prison)

11 songs were about truckers not in prison
(i.e., 11 songs involved the theme of truckers but not the theme of prison)

22 songs were not about prison
16 songs were about truckers
16 songs were not about love
In the Venn diagram below,
Let T be the set of songs about truckers
Let L be the set of songs about love
Let P be the set of songs about prison

You must first enter the size of each of the 8 compartments of the Venn diagram (above) which interpret the numerical information given in the problem above. Then answer the questions below.

 (a) How many songs were about prison. (b) How many songs were about truckers who were not in love? (c) How many songs were NOT about truckers? (d) How many songs contained only one of these 3 themes?

 This page copyrighted: 23 June 2007