Math 100(MMW)._Activity 06.docxMOREActivity 6.1.followinTheforfour colleges aretableshowsthemumbeTof ennolleeseachthefourcollegesinB niversity.TheArtsand Sciences (CASI. Business(CEng).Administration(BA). EngineeringandFineArts (C FAJ. There are 180 nerw projcctors that are to beapportioHed among the colleges based on the number ofenrollees.CollegeEnrol mantCAS34555780CEng1896CFA4678a What is the standard divisor for an apportionm entof the prajectors?Use the Hamilton method to determine the mumberof projectors to be apportioned to each college.e. IF the projectors areJefferson method, explain why neither 86can be used as a modiied standard divisor. Explainwhy B6.5divisor.b.to be apPPportioned using thenor 87besedmodified standardcand. Explain why the modified standard divisor usedin the Jefferson method cannot be larger tha thestandard divisor.e. Use the Jefferson method to determine the numberof projectors to be apportioned to each college.f. How do the apportionment results produced usingthe Jefferson method compare withproduced using the Hamilton method?the results2.The members of a scholarship committee have rankedfour finalists competing for a scholarship in order ofpreferencoe. The results are shown in the preferenceschedule below.CandidateRankingsA4B12341Numberof nateSIf you are one of the voting members and ynou wantcandidatetowin the scholarship, which votingmethod would you suggest that the committee use?

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Description: Math 100(MMW)._Activity 06.docxMOREActivity 6.1.followinTheforfour colleges aretableshowsthemumbeTof ennolleeseachthefourcollegesinB niversity.TheArtsand Sciences (CASI. Business(CEng).Administration(BA). EngineeringandFineArts (C FAJ. There are 180

College CAS BA CEng CFA Total Enrollment 3,455 5,780 1,896 4,678 15,809…

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The follawing table shows the mumber of enrollees for each of the forar colleges in a university. The four coleges are Arts and Sciences (CASI. Business Administaration (BAJ. Engineering (CEng). and Fine Arts (CFAJ. There are 180 new projectors that are to be pportioned amorng the collleges based on the number of enrollees. College Enrolment CAS 3455 BA 5780 CEng CFA 1896 4678 a What is the standard divisor for an apportionment of the prajectors? b. Use the Hamilton method to deterenine the mumber of projectors to be apportioned to each college. e. EF the projectors are to be apportioned using the Jefferson method, explain why neither 86 nor 87 can be used as aa modified standard divisor. Explain why 86.5 divisor. be used a modified standard Can

The follawing table shows the mumber of enrollees for each of the forar colleges in a university. The four coleges are Arts and Sciences (CASI. Business Administaration (BAJ. Engineering (CEng). and Fine Arts (CFAJ. There are 180 new projectors that are to be pportioned amorng the collleges based on the number of enrollees. College Enrolment CAS 3455 BA 5780 CEng CFA 1896 4678 a What is the standard divisor for an apportionment of the prajectors? b. Use the Hamilton method to deterenine the mumber of projectors to be apportioned to each college. e. EF the projectors are to be apportioned using the Jefferson method, explain why neither 86 nor 87 can be used as aa modified standard divisor. Explain why 86.5 divisor. be used a modified standard Can

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Chapter2: Second-order Linear Odes

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Concept explainers

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.

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Math 100(MMW)._Activity 06.docx
MORE
Activity 6.
1.
followin
The
for
four colleges are
table
shows
the
mumbeT
of ennollees
each
the
four
colleges
in
B niversity.
The
Arts
and Sciences (CASI. Business
(CEng).
Administration
(BA). Engineering
and
Fine
Arts (C FAJ. There are 180 nerw projcctors that are to be
apportioHed among the colleges based on the number of
enrollees.
College
Enrol mant
CAS
3455
5780
CEng
1896
CFA
4678
a What is the standard divisor for an apportionm ent
of the prajectors?
Use the Hamilton method to determine the mumber
of projectors to be apportioned to each college.
e. IF the projectors are
Jefferson method, explain why neither 86
can be used as a modiied standard divisor. Explain
why B6.5
divisor.
b.
to be apPPportioned using the
nor 87
be
sed
modified standard
can
d. Explain why the modified standard divisor used
in the Jefferson method cannot be larger tha the
standard divisor.
e. Use the Jefferson method to determine the number
of projectors to be apportioned to each college.
f. How do the apportionment results produced using
the Jefferson method compare with
produced using the Hamilton method?
the results
2.
The members of a scholarship committee have ranked
four finalists competing for a scholarship in order of
preferencoe. The results are shown in the preference
schedule below.
Candidate
Rankings
A
4
B
1
2
3
4
1
Number
of nateS
If you are one of the voting members and ynou want
candidate
to
win the scholarship, which voting
method would you suggest that the committee use?

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