onsider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using the Hamilton method. Campus A B C D Enrollment 840 1942 320 2760 Apportionment of 27 projectors 4 9 1 13 (a) If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if the Hamilton method is used? Campus A       Campus B       Campus C       Campus D       Did the Alabama paradox occur? YesNo     (b) If the number of projectors to be apportioned using the Hamilton method increases from 28 to 29, will the Alabama paradox occur? YesNo

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Chapter9: Sequences, Probability And Counting Theory
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Consider the apportionment of 27 projectors for a school district with four campus locations labeled A, B, C, and D. The following table shows the apportionment of the projectors using the Hamilton method.
Campus A B C D
Enrollment 840 1942 320 2760
Apportionment of 27 projectors 4 9 1 13
(a)
If the number of projectors to be apportioned increases from 27 to 28, what will be the apportionment if
the Hamilton method is used?
Campus A      
Campus B      
Campus C      
Campus D      
Did the Alabama paradox occur?
YesNo    
(b)
If the number of projectors to be apportioned using the Hamilton method increases from 28 to 29, will the Alabama paradox occur?
YesNo    
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