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Unformatted text preview: rt of 'A' that is in 'B' and not in
'C'" because of the U we shade the
middle
3. "the parts that 'A' and 'B' have in
common and also in 'C' " Cardinality Notes
Deﬁnition
The cardinality of a set A is the number of elements in A, denoted
n(A) or A. Let A and B be sets with n(A)=12, n(B)= 27,
n(AUB)= 30. then, n(A n B)= 9 12= n(A)=x+y
27= n(B)= y+z
n(A)+n(B)=x+2y+z A = {2, 4, 6, 8, . . . , 18, 20} n(A) = 10 n(AUB)=x+y+z
Patrick Newberry Venn Diagrams November 14, 2012 7 / 14 n(AUB)=n(A)+n(B)ln(AUB) Cardinality Examples Notes
Suppose n(U ) = 93 and 0 n(A) = 40
n(B ) = 45 C n(C ) = 24 16 n (A \ B ) = 8 1 n (A \ C ) = 6 n (B \ C ) = 7 31 n (A \ B \ C ) = 5 Find n(A \ (B [ 5 2 3 35 A B C )0 )) Patrick Newberry Venn Diagrams Cardinality November 14, 2012 9 / 14 Examples A local television station sends out questionnaires to determine if the
viewers would rather see a documentary, an interview show, or reruns
of a game show. There were 250 responses with the following results: Notes n(I n D n R')=75 7...
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This document was uploaded on 02/18/2014 for the course MATH 1071 at Colorado.
 Fall '08
 MARSHALL,K
 Math

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