Chapter 13.1-13.3 Practice
Multiple Choice
Identify the choice that best completes the statement or answers the question.
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1. Find the number of different ways the letters of the word CARS can be arranged if the first letter must be C.
a. 6
c. 12
b. 3
d. 24
2. How many three-digit numbers can be made from the ten possible digits, 0–9, if the first digit cannot be 0?
a. 3
c. 6
b. 1000
d. 900
3. Which events described below are dependent?
a. tossing 2 coins one at a time
b. choosing 6 digits from a list of 9 digits
c. rolling a number cube and flipping a coin
d. choosing 2 cards from a deck if the first card is replaced
4. How many different ways can 16 people seat themselves in a single row at the theater?
a. 10,461,394,940,000
c. 1,307,674,368,000
b. 20,922,789,890,000
d. 3,487,131,648,000
5. How many ways can a lepidopterist display 8 rare butterfly specimens in a row within a display case?
a. 1,814,400
c. 5040
b. 362,880
d. 40,320
6. From a group of 5 men and 6 women, how many committees of 4 men and 3 women can be formed?
a. 360
c. 18
b. 12
d. 100
7. A bag contains 4 red, 6 white, and 7 blue marbles. How many ways can 3 red, 2 white, and 4 blue marbles be
chosen?
a. 24
c. 24,310
b. 159
d. 2100
8. How many six-letter permutations can be formed from the letters of the word BANANA?
a. 30
c. 360
b. 120
d. 60
9. How many six-digit license plates of the same state can have the digits 3, 9, 3, 9, 9, and 3?
a. 720
c. 180
b. 20
d. 360
10. How many ways can 3 children arrange themselves in a circle?
a.
c. 12
b. 15
d.
11. Two cards are drawn from a sack containing 7 red cards and 5 black cards. What is the probability that both
are black?
a.
c.
b.
d.
____ 12. Two coins are taken at random from a bank containing 4 dimes, 8 quarters, and 3 nickels. What is the
probability that both coins will be quarters?
a.
c.
b.
d.
____ 13. The probability of an event is
a. 1 to 4
b. 5 to 4
4
. Find the odds against this event occurring.
5
c. 1 to 1
d. 5 to 1
Short Answer
14. Find the number of different ways the letters of the word DOGS can be arranged if the last letter must be S.
15. How many four-digit numbers can be made from the ten possible digits, 0–9, if the first digit cannot be 0?
16. State whether the following events are independent or dependent: choosing the digits of a four-digit number if
the first digit cannot be 0 and none of the digits can be the same
17. State whether the following events are independent or dependent: choosing four class officers if a person can
hold only one office
18. If the local theater is showing 12 different movies, how many different orders can all 12 movies be seen in,
one after the other?
19. A tropical fish store displays 17 varieties of tropical fish in 17 separate aquariums. How many different ways
can the store display these fish?
20. From a group of 8 men and 3 women, how many committees of 6 men and 2 women can be formed?
21. A bag contains 5 red, 9 white, and 3 blue marbles. How many ways can 4 red, 6 white, and 2 blue marbles be
chosen?
22. How many nine-letter permutations can be formed from the letters of the word PRESIDENT?
23. How many six-digit license plates of the same state can have the digits 9, 4, 8, 8, 8, and 3?
24. How many ways can 4 people be seated at a circular table?
25. Two cards are drawn from a sack containing 9 red cards and 8 black cards. What is the probability that both
are red?
26. Two coins are taken at random from a bank containing 6 dimes, 3 quarters, and 7 nickels. What is the
probability that both coins will be nickels?
27. If the probability of an event occurring is
3
, what are the odds that the event will occur?
5
Chapter 13.1-13.3 Practice
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
A
D
B
B
D
D
D
D
B
D
C
B
A
SHORT ANSWER
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
6
9000
dependent
dependent
479,001,600
355,687,428,100,000
84
1260
181,440
120
6
25.
26.
27. 3:2