There are a total of 134 foreign language students in a high school where they offer Spanish, French, and German. There are 15 students who take French and German, 24 students who take French and Spanish, 12 students who take German and Spanish, and 5 students who take all three languages. If there are 62 Spanish students, 63 French students, and 55 German students, find: a) How many students take French only. b) How many students take French AND German but not Spanish. c) How many students take French OR German but not Spanish.
There are a total of 134 foreign language students in a high school where they offer Spanish, French, and German. There are 15 students who take French and German, 24 students who take French and Spanish, 12 students who take German and Spanish, and 5 students who take all three languages. If there are 62 Spanish students, 63 French students, and 55 German students, find: a) How many students take French only. b) How many students take French AND German but not Spanish. c) How many students take French OR German but not Spanish.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 2CT: A hospital cafeteria offers a fixed-price lunch consisting of a main course, a dessert, and a drink....
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Transcribed Image Text:There are a total of 134 foreign language students in a high school where they
offer Spanish, French, and German. There are
15 students who take French and German,
24 students who take French and Spanish,
12 students who take German and Spanish, and
5 students who take all three languages.
If there are 62 Spanish students, 63 French students, and 55 German students,
find:
a) How many students take French only.
b) How many students take French AND German but not Spanish.
c) How many students take French OR German but not Spanish.
Transcribed Image Text:How many elements are in the union of four sets if each of the sets has 98
elements, each pair of sets share 55 elements, each triple of sets shares 21
elements and there are 6 elements in all four sets.
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