The Kangaroo Lodge of Madison Country has 10 members ( A , B , C , D , E , F , G , H , I and J ). The club has five working committees: the Rules Committee ( A , C , D , E , I , and J ), the Public Relations Committee ( B , C , D , H , I and J ), the guest speaker committee ( A , D , E , F , and H ), the New Year’s Eve Party Committee ( D , F , G , H , and I ), and the Fund raising Committee ( B , D , F , H . and J ). a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the members.) b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the committees.)
The Kangaroo Lodge of Madison Country has 10 members ( A , B , C , D , E , F , G , H , I and J ). The club has five working committees: the Rules Committee ( A , C , D , E , I , and J ), the Public Relations Committee ( B , C , D , H , I and J ), the guest speaker committee ( A , D , E , F , and H ), the New Year’s Eve Party Committee ( D , F , G , H , and I ), and the Fund raising Committee ( B , D , F , H . and J ). a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the members.) b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. ( Hint: Let the vertices of the graph represent the committees.)
Solution Summary: The author illustrates how to model a situation in which we can find out the pairs of members in the same committee
The Kangaroo Lodge of Madison Country has
10
members (
A
,
B
,
C
,
D
,
E
,
F
,
G
,
H
,
I
and
J
). The club has five working committees: the Rules Committee (
A
,
C
,
D
,
E
,
I
,
and
J
), the Public Relations Committee (
B
,
C
,
D
,
H
,
I
and
J
), the guest speaker committee (
A
,
D
,
E
,
F
,
and
H
), the New Year’s Eve Party Committee (
D
,
F
,
G
,
H
,
and
I
), and the Fund raising Committee (
B
,
D
,
F
,
H
.
and
J
).
a. Suppose we are interested in knowing which pairs of members are on the same committee. Draw a graph that models this problem. (Hint: Let the vertices of the graph represent the members.)
b. Suppose we are interested in knowing which committees have members in common. Draw a graph that models this problem. (Hint: Let the vertices of the graph represent the committees.)
The human resources director received 101 applications from people with thegiven information.
42 with sales experience
40 with a college degree
47 with a real estate license
14 with sales experience and a college degree
15 with sales experience and a real estate license
17 with a college degree and a real estate license
10 with sales experience, a college degree, and a real estate license
a) How many applicants had neither sales experience, a college degree, nor a realestate license?
b) How many applicants did not have sales experience?
c) How many had sales experience and a college degree, but not a real estatelicense?
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