document.write( "Question 845025: A family consisting of three people-P1,P2,andP3-belongs to a medical clinic that always has a physician at each of stations 1,2 and 3. During a certain week, each memeber of the family visists the clinic exactly once and is randomly assigned to a station. One experimental outcome is (1,2,1) which means that P1 is assigned to station 1, P2 is assigned to station 2, and P3 is assigned to station 1.
\n" ); document.write( "i) List the 27 possible outcomes.
\n" ); document.write( "ii) List all outcomes in the event A that all three people go to the same station.
\n" ); document.write( "iii) List all outcomes in the event B, that all three people go different stations.
\n" ); document.write( "iv) List all outcomes in the event C, that no one goes to station 2.
\n" ); document.write( "v) Identify outcomes in each of the following events: Bc, Cc, A ∪ B, A ∩ B, A ∩ C.
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Algebra.Com's Answer #509087 by Fombitz(32388)\"\" \"About 
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i) U={111, 112, 113, 121, 122, 123 ,131, 132, 133,
\n" ); document.write( "211, 212, 213, 221, 222, 223 ,231 ,232, 233,
\n" ); document.write( "311, 312, 313, 321, 322, 323, 331, 332 ,333}\r
\n" ); document.write( "\n" ); document.write( "ii) A={111 ,222, 333}
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\n" ); document.write( "iii) B={123, 132, 213, 231, 312 ,321}\r
\n" ); document.write( "\n" ); document.write( "iv) C={111 , 113 , 131 ,133 ,311 , 313, 331 , 333}
\n" ); document.write( "v) Bc=All trios in U not in B.
\n" ); document.write( "Cc=All elements in U not ic C.
\n" ); document.write( "A ∪ B = {111 ,222, 333, 123, 132, 213, 231, 312 ,321}
\n" ); document.write( "A ∩ B = Empty
\n" ); document.write( "A ∩ C = {111,333}
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