Mathematics 1225A/B Study Guide - Pound Cake, Paga, Cupcake
22 May 2014
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[ 1 mark ] in a group of 85 students, it is found that 60 students have a pen, 50 students have a pencil, and 25 students have a pen but not a pencil. Solution: let u be the set of all students in the group. De ne a be the subset containing those students who have a pen and b be the subset containing those students who have a pencil. Then we are told that n(u ) = 85, n(a) = 60, n(b) = 50 and n(a b c) = 25, and we are asked to nd n(ac b). [ 1 mark ] let g be the set of all students taking geography, m be the set of all students taking math, and p be the set of all students taking psychology. Allison is taking both geography and math, but is not taking psychology. D: g m p e: (g p ) (m p )
