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7/31/2019 ExamView Pro - Alg3 Unit 1 Review (p,c, Binomial)
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Name: ________________________ Class: ___________________ Date:
__________ ID: A
1
Unit 1 Test Review - Permutations, Combinations, & Binomial
Expansion - Algebra 3
Multiple Choice
Identify the letter of the choice that best completes the
statement or answers the question.
____ 1. Find the number of permutations of the word
CINCINNATI.a. 45,360 c. 3,628,800
b. 50,400 d. 604,800
____ 2. How many 5-number license plates can be made using the
digits 1, 2, 3, 4, 5, 6, and 7 if an odd digit must
come first and repititions are allowed? not allowed?
a. 16,807 ; 5040 c. 9,604 ; 2,520
b. 16,807 ; 2,520 d. 9,604 ; 1,440
____ 3. In how many ways can 2 black flag, 3 red flags, 5 blue
flags, and 5 green flags be arranged on a flag pole?
a. 7,567,560 c. 504,504
b. 15,135,120 d. 1,307,674,368,000
____ 4. In how many ways can 9 keys be arranged on a circular
key ring?
a. 9 c. 40,320
b. 362,880 d. 81
____ 5. In the 7A-West conference there are 8 teams. How many
basketball games are played if each team plays all
other teams twice?
a. 28 c. 16
b. 56 d. 64
____ 6. Of the first 10 questions on a test, a student must
answer 8. Of the next 5 questions, 2 must be answered. In
how many ways can this be done.
a. 3003 c. 45
b. 55 d. 450
Evaluate the expression.
____ 7. 5!
a. 24 b. 120 c. 15 d. 720
____ 8.10!
3!
a. 604,800 b. 720 c. 120 d.10
3
____ 9.7!
4! 3!
a. 13 b. 35 c. 79 d. 840____ 10. 9 P4
a. 9 b. 362,880 c. 126 d. 3,024
____ 11. 7 C6
a. 9 b. 1 c. 5,040 d. 7
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7/31/2019 ExamView Pro - Alg3 Unit 1 Review (p,c, Binomial)
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Name: ________________________ ID: A
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____ 12.60 C3
15 C3
a. 14,190 b. 4 c. 8,555 d.6844
91
____ 13. There are 10 students participating in a spelling bee.
In how many ways can the students who go
first and second in the bee be chosen?
a. 1 way c. 3,628,800 ways
b. 90 ways d. 45 ways
____ 14. The Booster Club sells meals at basketball games. Each
meal comes with a choice of hamburgers, pizza, hot
dogs, cheeseburgers, or tacos, and a choice of root beer,
lemonade, milk, coffee, tea, or cola. How many
possible meal combinations are there?
a. 10 b. 11 c. 28 d. 30
____ 15. In how many ways can 3 singers be selected from 5 who
came to an audition?
a. 1 b. 10 c. 5 d. 60
____ 16. There are 6 people on the ballot for regional judges.
Voters can vote for any 4. Voters can choose to vote for 0
1 2 3 or 4 judges. In how many different ways can a person
vote?a. 57 b. 5 c. 15 d. 6
Use Pascals Triangle to expand the binomial.
____ 17. (s 5v)5
a. s5 5s4v + 10s3v2 10s2 v3 + 5sv 4 v 5
b. s5 + 125s4 v 1250s3v 2 + 6250s2v3 15625sv 4 + 15625v5
c. s5 25s4v + 250s3 v2 1250s2 v3 + 3125sv 4 3125v5
d. s5 25s4 + 250s3 1250s2 + 3125s 3125
____ 18. (d 5)6
a. d6 +
6d5 +
15d4 +
20d3 +
15d2 +
6d+
1b. d6 6d5 + 15d4 20d3 + 15d2 6d+ 1
c. d6 + 30d5 + 375d4 + 2500d3 + 9375d2 + 18750d + + 15625
d. d6 30d5 + 375d4 2500d3 + 9375d2 18750d+ 15625
____ 19. (d+ 3)7
a. d7 + 21d6 + 189d5 + 945d4 + 2835d3 + 5103d2 + 5103d+ 2187
b. d7 7d6 + 21d5 35d4 + 35d3 20d2 + 7d 1
c. d7 + 7d6 + 21d5 + 35d4 + 35d3 + 20d2 + 7d+ 1
d. d7 21d6 + 189d5 945d4 + 2835d3 5103d2 + 5103d 2187
____ 20. Use the Binomial Theorem to expand (d 3b)3 .
a. d3 3d2b + 3db 2 b 3
b. d3 + 3d2b + 3db 2 + b 3c. d3 + 9d2b + 27db 2 + 27b 3
d. d3 9d2b + 27db 2 27b 3
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7/31/2019 ExamView Pro - Alg3 Unit 1 Review (p,c, Binomial)
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ID: A
1
Unit 1 Test Review - Permutations, Combinations, & Binomial
Expansion - Algebra 3
Answer Section
MULTIPLE CHOICE
1. B
2. D
3. A
4. C
5. B
6. D
7. B
8. A
9. B
10. D
11. D12. D
13. B
14. D
15. B
16. A
17. C
18. D
19. A
20. D
