In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking Japanese, 65 are taking English, 22 are taking both French and Japanese, 30 are taking French and English, 25 are taking Japanese and English, and 10 are taking all three-language courses. Find the following: a) The number of students taking exactly one course. b) The number of students not taking any course. c) The number of students who are taking both Japanese and French but not English. d) The number of students who are taking only French. e) The number of students taking any course.
In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking Japanese, 65 are taking English, 22 are taking both French and Japanese, 30 are taking French and English, 25 are taking Japanese and English, and 10 are taking all three-language courses. Find the following: a) The number of students taking exactly one course. b) The number of students not taking any course. c) The number of students who are taking both Japanese and French but not English. d) The number of students who are taking only French. e) The number of students taking any course.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Transcribed Image Text:In a group of 200 students, the following facts are known: 75 are taking French, 80 are taking Japanese,
65 are taking English, 22 are taking both French and Japanese, 30 are taking French and English, 25 are
taking Japanese and English, and 10 are taking all three-language courses. Find the following:
a) The number of students taking exactly one course.
b) The number of students not taking any course.
c) The number of students who are taking both Japanese and French but not English.
d) The number of students who are taking only French.
e) The number of students taking any course.
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