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5.3 Venn Diagrams and Counting. U = {Nobel Prize Winners} A = {American Noble Prize Winners} C = {Chemistry Nobel Prize Winners} P = {Nobel Peace Prize Winners} How many Americans received a Nobel Prize?
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5.3 Venn Diagrams and Counting • U = {Nobel Prize Winners} • A = {American Noble Prize Winners} • C = {Chemistry Nobel Prize Winners} • P = {Nobel Peace Prize Winners} • How many Americans received a Nobel Prize? • How many Americans received a Nobel Prize in fields other than Chemistry and peace? • How many people won the Nobel Prize in peace and Chemistry? • How many Americans received the Nobel Peace Prize? • How many people received Nobel Prizes? • How many people won a Nobel Prize, but are not American? U v A C 56 93 223 1 0 25 89 P 310
5.3 Venn Diagrams and Counting • 500 corporations were surveyed. Of those corporation presidents, 310 had degrees of any sort in business, 238 had an undergraduate degree in business, and 184 has a graduate degree in business. How many had a undergraduate and graduate degree in business? • Make a Venn Diagram! • Determine the number of variables (circles) • Work from the innermost spot out! • Define your circles!! v
5.3 Venn Diagrams and Counting • An advertising agency find that media use of its 170 clients is as follows:115 use television110 use radio130 use magazines75 use television or radio95 use radio or magazines85 use television or magazines70 use all three. • Make a Venn Diagram to represent this situation. • Define your circles!! v
5.3 Venn Diagrams and Counting • Problems to complete as Classwork: • Pg. 222 #23 - 25 • Problems to complete from section 5.3 • #1 – 10, 26 – 30