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So n(S∪B)=100 , n(S)=80 and n(B)=70 We want to know n(S∩B) which is equal to n(S)n(B)−n(S∪B)=8070−100=50 by the second form of the general addition rule Venn Diagrams A Venn diagram can be a useful way of depicting sets and set operations We use circles to represent the sets, and enclose our diagram in a rectangle" _ " `Note If U is a universal set and A is a subset of U,thenn(Ac)=n(U)n(A) 1 Let the universal set U = {1,2,3,4,5,6,7,8,9,10} Find the following (a) n(U) (b) n(Ac), where A = {x xisanevennumberfrom1to10} (c) n(B), where B = {1,3,9} (d) n(?) Addition Rule for Sets Very Useful Formula If A and B are finite sets then n(AB)=n(A)n(B)n(A\B) 2 Quantifying The Contributions Of Tidal Straining And Gravitational Circulation To Residual Circulation In Periodically Stratified Tidal Estuaries In Journal Of Physical Oceanography Volume 40 Issue 6 10 ƒuƒƒbƒN 40 'ã 'j« "¯Œ^