An election is held to choose the Chair of the Mathematics Department at Tasmania State University. The candidates are professors Argand, Brandt, Chavez, Dietz, and Epstein ( A , B , C , D , and E for short). Table 1-25 shows the preference schedule for the election. Table 1-25 N u m b e r o f v o t e r s 5 5 3 3 3 2 1 s t A C A B D D 2 n d B E D E C C 3 r d C D B A B B 4 t h D A C C E A 5 t h E B E D A E a. How many people voted in this election? b. How many first-place votes are needed for a majority? c. Which candidate had the fewest last-place votes?
An election is held to choose the Chair of the Mathematics Department at Tasmania State University. The candidates are professors Argand, Brandt, Chavez, Dietz, and Epstein ( A , B , C , D , and E for short). Table 1-25 shows the preference schedule for the election. Table 1-25 N u m b e r o f v o t e r s 5 5 3 3 3 2 1 s t A C A B D D 2 n d B E D E C C 3 r d C D B A B B 4 t h D A C C E A 5 t h E B E D A E a. How many people voted in this election? b. How many first-place votes are needed for a majority? c. Which candidate had the fewest last-place votes?
An election is held to choose the Chair of the Mathematics Department at Tasmania State University. The candidates are professors Argand, Brandt, Chavez, Dietz, and Epstein (
A
,
B
,
C
,
D
,
and
E
for short). Table 1-25 shows the preference schedule for the election.
Table 1-25
N
u
m
b
e
r
o
f
v
o
t
e
r
s
5
5
3
3
3
2
1
s
t
A
C
A
B
D
D
2
n
d
B
E
D
E
C
C
3
r
d
C
D
B
A
B
B
4
t
h
D
A
C
C
E
A
5
t
h
E
B
E
D
A
E
a. How many people voted in this election?
b. How many first-place votes are needed for a majority?
c. Which candidate had the fewest last-place votes?
When ever one Point sets in X are
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9. (a) Use pseudocode to describe an algo-
rithm for determining the value of a
game tree when both players follow a
minmax strategy.
(b) Suppose that T₁ and T2 are spanning
trees of a simple graph G. Moreover,
suppose that ₁ is an edge in T₁ that is
not in T2. Show that there is an edge
2 in T2 that is not in T₁ such that
T₁ remains a spanning tree if ₁ is
removed from it and 2 is added to it,
and T2 remains a spanning tree if 2 is
removed from it and e₁ is added to it.
(c) Show that a
degree-constrained
spanning tree of a simple graph in
which each vertex has degree not
exceeding 2 2 consists of a single
Hamiltonian path in the graph.
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Algorithms and Data Structures - Full Course for Beginners from Treehouse; Author: freeCodeCamp.org;https://www.youtube.com/watch?v=8hly31xKli0;License: Standard Youtube License