14111cwir5ws.2

# 14111cwir5ws.2 - Potbelly’s The following information was...

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c ± Kendra Kilmer September 30, 2011 4. For each part, draw a Venn Diagram with 3 subsets, A , B , and C , and shade the region that represents each set. (a) B A c C c (b) C ( A B ) (c) A ( B C ) c Section 6.2 n ( A ) represents the number of elements in a set. n ( A B ) = n ( A ) + n ( B ) - n ( A B ) We can label each region in a Venn Diagram with the number of elements in it to sort out the given information. 5. If n ( A ) = 15, n ( B ) = 23, and n ( A B ) = 5, what is n ( A B ) ? 6. A Universal Set consists of 3 subsets. We are given the following information: n ( A B c C c ) = 10 n ( A ) = 25 n ( B C ) = 10 n ( C ) = 30 n ( B c ) = 35 n ( A C B c ) = 9 n ( A B C ) = 2 n ( C c ) = 22. Fill out the Venn Diagram with this information and use it to ﬁnd n ( B C ) . 7. A survey was conducted of 100 student’s dining preferences. They were all asked their preference on eating at Chipotle, Fitzwilly’s, and
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Unformatted text preview: Potbelly’s. The following information was determined: • 20 students like only Fitzwilly’s. • 30 students like exactly two of the restaurants. • 50 students like Potbelly’s • 5 students like all three restaurants. • 15 students like Chipotle and Fitzwilly’s. • 8 students like only Fitzwilly’s and Potbelly’s • 60 students do not like Chipotle. Fill out the Venn Diagram with this information and use it to determine how many students do not like Fitzwilly’s. 2...
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