6. There is a class of 40 girls. There are 18 girls who like to play chess, and 23 who like to play soccer. Several of them like biking. The number of those who like to play both chess and soccer is 9. There are 7 girls who like chess and biking, and 12 who like soccer and biking. There are 4 girls who like all three activities. In addition we know that everybody likes at least one of these activities. How many girls like biking?

College Algebra
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ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
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6. There is a class of 40 girls. There are 18
girls who like to play chess, and 23 who like
to play soccer. Several of them like biking.
The number of those who like to play both
chess and soccer is 9. There are 7 girls who
like chess and biking, and 12 who like soccer
and biking. There are 4 girls who like all three
activities. In addition we know that
everybody likes at least one of these
activities.
How many girls like biking?
Transcribed Image Text:6. There is a class of 40 girls. There are 18 girls who like to play chess, and 23 who like to play soccer. Several of them like biking. The number of those who like to play both chess and soccer is 9. There are 7 girls who like chess and biking, and 12 who like soccer and biking. There are 4 girls who like all three activities. In addition we know that everybody likes at least one of these activities. How many girls like biking?
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