10. A liberal arts college has one thousand students. The numbers studying various languages are: English 780; French 220; and Spanish 52. These figures include 110 who study English and French, 32 who study English and Spanish, 15 who study French and Spanish. Finally, all these figures include ten students taking all three languages. (a) How many study English and French, but not Spanish? (b) How many study English, but not French? (c) How many study no languages?

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
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10. A liberal arts college has one thousand students. The numbers studying various languages
are:
English 780; French 220; and Spanish 52. These figures include 110 who study English and
French, 32 who study English and Spanish, 15 who study French and Spanish. Finally, all these
figures include ten students taking all three languages.
(a) How many study English and French, but not Spanish?
(b) How many study English, but not French?
(c) How many study no languages?
Transcribed Image Text:10. A liberal arts college has one thousand students. The numbers studying various languages are: English 780; French 220; and Spanish 52. These figures include 110 who study English and French, 32 who study English and Spanish, 15 who study French and Spanish. Finally, all these figures include ten students taking all three languages. (a) How many study English and French, but not Spanish? (b) How many study English, but not French? (c) How many study no languages?
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