Use the Venn diagram below to find the number of elements in the region.
55)
n(A
C)
55)
A)
2
B)
10
C)
37
D)
18
56)
If n(B) = 24, n(A
B) =5, and n(A B) = 42, find n(A).
56)
A)
21
B)
24
C)
23
D)
25
57)
An animal trainer selects 2 of the 5 baboons to showcase on the talk show.
57)
A)
neither
B)
permutation
C)
combination
58)
0
58)
A)
True
B)
False
59)
P10, 2
59)
A)
19
B)
8
C)
90
D)
45
60)
In how many ways can a student work 6 out of 10 questions on an exam?
60)
A)
5040
B)
1,000,000
C)
24
D)
210
61)
~q
p ; ~q
p
61)
A)
True
B)
False
62)
C
D
62)
A)
True
B)
False
63)
A software company employs 9 sales representatives and 8 technical representatives. How many
ways can the company select 5 of these employees to send to a computer convention if at least 4
technical representatives must attend the convention?
63)
A)
180
B)
360
C)
1440
D)
686
64)
How many ways can a committee of 2 be selected from a club with 12 members?
64)
A)
2
B)
132
C)
33
D)
66
Use the Venn diagram below to find the number of elements in the region.
65)
n(C )
65)
A)
14
B)
39
C)
29
D)
24
Provide an appropriate response.
66)
License plates are made using 3 letters followed by 3 digits. How many plates can be made if
repetition of letters and digits is allowed?
66)
A)
17,576,000
B)
308,915,776
C)
1,000,000
D)
175,760
E)
1,757,600
Use the Venn diagram below to find the number of elements in the region.
67)
n(A
B
C)
67)
A)
16
B)
18
C)
44
D)
8
Construct a truth table to decide if the two statements are equivalent.
68)
~p ~q; ~(p
q)
68)
A)
True
B)
False
Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false.
69)
{9}
A
69)
A)
True
B)
False
A
Evaluate.
70)
C8, 2
70)
A)
28
B)
4
C)
1440
D)
720
A
Construct a truth table for the proposition.
71)
p
(p ~p)
71)
A)
p p
(p ~p)
T F
F F
B)
p p
(p ~p)
T F
F T
C)
p p
(p ~p)
T T
F F
D)
p p
(p ~p)
T T
F T
C
Use the addition principle for counting to solve the problem.
72)
If n(A) = 5, n(B) = 11 and n(A
B) = 3, what is n(A B)?
72)
A)
11
B)
13
C)
14
D)
12
B
A
Evaluate.
73)
9!
7!
73)
A)
72
B)
2!
C)
9
D)
9
7
Use the Venn diagram to find the requested set.
74)
Find A
B.
j c d
n f w
q
74)
A)
{d, c, f, j, q, n, w}
B)
{d, c, f, j, n, w}
C)
{q}
D)
{c, f}
Use the addition principle for counting to solve the problem.
75)
If n(A) = 20, n(A B) = 58, and n(A
B) = 16, find n(B).
75)
A)
53
B)
54
C)
55
D)
58
Use the Venn diagram below to find the number of elements in the region.
76)
n((A B)
C)
76)
A)
15
B)
33
C)
11
D)
14
Express the proposition as an English sentence and determine whether it is true or false, where p and q are the
propositions
p: “9 · 9 = 81″ q: “8 · 10 < 7 · 11
77)
The contrapositive of p
q
77)
A)
If 8 ·
10 is not less than 7 ·
11, then 9 ·
9 is equal to 81; false
B)
If 8 ·
10 is not less than 7 ·
11, then 9 ·
9 is not equal to 81; false
C)
If 8 ·
10 is less than 7 ·
11, then 9 ·
9 is equal to 81; false
D)
If 8 ·
10 is less than 7 ·
11, then 9 ·
9 is not equal to 81; false
78)
~(~q); q
78)
A)
True
B)
False
Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false.
79)
{3, 0, 8}
A
79)
A)
True
B)
False
Construct a truth table to decide if the two statements are equivalent.
80)
~p ~q; ~(p
q)
80)
A)
True
B)
False
81)
The access code to a house‘s security system consists of five digits. How many different codes are
available if each digit can be repeated?
81)
A)
5
B)
3125
C)
100,000
D)
32
E)
45
Construct a truth table to decide if the two statements are equivalent.
Let A = {6, 4, 1, {3, 0, 8}, {9}}. Determine whether the statement is true or false.
82)
{9}
A
82)
A)
True
B)
False
83)
At Southern States University SSU) there are 719 students taking Finite Mathematics or Statistics.
328 are taking Finite Mathematics, 476 are taking Statistics, and 85 are taking both Finite
Mathematics and Statistics. How many are taking Statistics but not Finite Mathematics?
83)
A)
391
B)
158
C)
634
D)
243
A
84)
q
p ; p
q
84)
A)
True
B)
False
B
85)
If n(A) = 40, n(B) = 117 and n(A B) = 137, what is n(A
B)?
85)
A)
10
B)
20
C)
40
D)
22
B
86)
Find A B.
h c b
n i r
m
86)
A)
{b, c, i, h, n, r}
B)
{c, i}
C)
{b, c, i, h, m, n, r}
D)
{m}
A
B
Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D = {2, 5, 8}; and U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the given statement
is true or false.
87)
{5}
D
87)
A)
True
B)
False
88)
Find A’
B’.
9 z p
6
1 h
88)
A)
{9, 1, 6, z, p, h}
B)
{6}
C)
D)
{9}
89)
P6, 4
89)
A)
24
B)
360
C)
2
D)
30
90)
How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if the
sequence may not end in 000? Repetition of digits is allowed.
90)
A)
5000
B)
1512
C)
2999
D)
2997
E)
2000
91)
Mrs. Bollo’s second grade class of thirty students conducted a pet ownership survey. Results of the
survey indicate that 8 students own a cat, 15 students own a dog, and 5 students own both a cat and
a dog. How many of the students surveyed own neither a cat nor a dog?
91)
A)
12
B)
10
C)
3
D)
25
92)
3
{6, 9, 12, 15, 18}
92)
A)
True
B)
False
Answer Key
Testname: C7
Answer Key
Testname: C7
Answer Key
Testname: C7