QuestionImport favorites Booking.com McAfee Security There are 37 students in the University Travel Club. The following information and Venn diagram show how many students traveled to Germany, France, and Spain. How many students have been to France or Spain but not Germany? 17 members have visited Germany 13 have been to Spain 19 have visited France 10 have been to Germany and France 6 have only been to France 5 have only been to Germany 3 have been to only Spain and France 3 have been to all three countries Some of the members have not been to any of the three

Studdy Solution
Finally, calculate $|(F \cup S) \setminus G|$: $$|(F \cup S) \setminus G| = |F \cup S| - |(F \cap G) \cup (S \cap G)|$$ $$|(F \cup S) \setminus G| = 29 - (9 + x)$$ $$|(F \cup S) \setminus G| = 20 - x$$
Given the total number of students who have not been to any country is an unknown $x$, and assuming $x = 0$ (no students have been to none of the countries), we get: $$|(F \cup S) \setminus G| = 20$$
Thus, the number of students who have been to France or Spain but not Germany is $20$.