How many students know all three languages?Solution: n(U)=50 ; n(P)=26; n(F)=18 n(C)=30 ; n(P∩F)=9; n(P∩C)=16 n(F∩C)=8; n(P∪F∪C)=43Where U = the set of students of computer classP = the set of students who know PASCALF = the set of students who know FORTRANC = the set of students who know COBOLa) By the difference rule, the number ofthe student who know none of these languages equal the total number ofstudent minus the number who know at least one of the three languagesn(U) – n(P∪F∪C)=50-43=7So 7 students know none of these languages D
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