A Π B = all elements in both sets A and B

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Presentation transcript:

A Π B = all elements in both sets A and B Discrete Math Section 15.1 Use Venn Diagram, intersections, unions, and inclusion-exclusion principle to solve problems Intersection of sets A and B A Π B = all elements in both sets A and B Union of sets A and B A U B= all elements in either set A or B

If set A = { 1,2,3,4} and set B = {3,4,5,6} find the following: A U B example If set A = { 1,2,3,4} and set B = {3,4,5,6} find the following: A U B A Π B n(A) = (number of elements in set A) n(A U B) n(A Π B)

Inclusion-Exclusion Principle: for sets A and B, n(A U B) = n(A) + n(B) – n(A Π B) Of 58 seniors, 36 drive their own car to school, 42 are in extra-curricular activities, and 28 are in extra-curricular activities and drive their own car to school. How many don’t drive and are not in extra-curricular activities?

example Of the 72 employees at SES, 42 are teachers and 31 employees live in Salina, If 26 teachers live in Salina, how many non-teacher employees do not live in Salina?

Empty set (null set) Ø has no elements Universal set U is the set of all elements Complement of set A ( ) is all elements in U but not in set A. Example: If U = {1,2,3,….10} and A = {1,2,3…7} Find

assignment Page 568 Problems 1,2,4,6,8,11,12,14,19,20