Test Bank for Biocalculus: Calculus, Probability, and Statistics for the Life Sciences 2nd Edition by James Stewart

10.1 Principles of Counting

1. An experiment is to be conducted to examine the growth rate of juvenile coho salmon under different
temperature and food conditions. To get reliable results we need to have 20 fish in each set of conditions. If
there are three different kinds of food and three distinct temperatures of interest, and if we wish to conduct the
experiment separately for males and females, how many fish will we need?

a. 360
b. 180
c. 20
d. 240
e. 28
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 11:06 AM
DATE MODIFIED: 8/27/2021 6:18 AM

2. Bioengineers construct peptides with new functions by starting with a particular peptide and then mutating
the amino acids present at different positions. They then screen the resulting mutant peptide for the desired
function. There are 20 main kinds of amino acids. Suppose the starting peptide is 8 amino acids long. If we
consider all possible mutants for the amino acid at one position only, but this can be at any of the 8 positions,
how many new peptides will need to be screened?

a. 152
b. 8
c. 19
d. 27
e. 160
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 11:30 AM
DATE MODIFIED: 8/28/2021 1:15 AM

3. An experiment is to be conducted to examine the timing of flowering in a small plant under different
temperature, water, and light conditions. Suppose there are two distinct temperatures of interest, three water
levels, and two light levels. If our greenhouse can hold a total of 60 plants, and if the plants are to be spread
evenly among all sets of conditions, how many individuals can we have in each set of conditions?

a. 5
b. 720
c. 12
d. 10

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,10.1 Principles of Counting

e. 240
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 11:19 AM
DATE MODIFIED: 8/28/2021 1:24 AM

4. A jar contains eight differently colored balls. If you remove all the balls, one at a time, how many color
sequences are possible?

a. 40,320
b. 8
c. 256
d. 5,040
e. 64
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 11:40 AM
DATE MODIFIED: 8/28/2021 1:30 AM

5. A collection of eight black blocks with different shapes and seven white blocks with different shapes are to be
lined up with alternating colors, starting with a black block. How many arrangements are possible?

a. 203,212,800
b. 45,360
c. 1,307,674,368,000
d. 282,240
e. 40,320
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 12:11 PM
DATE MODIFIED: 8/28/2021 1:35 AM

6. Suppose you toss six coins. How many ways are there to obtain at least four heads?

a. 22
b. 21
c. 7
d. 15
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,10.1 Principles of Counting

e. 24
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 1:15 PM
DATE MODIFIED: 8/28/2021 1:44 AM

7. Suppose a sample of 15 fish is to be taken from a population containing 95. How many different samples are
possible?

a. 1.10E+17
b. 1.44E+29
c. 7.90E+135
d. 1.31E+12
e. 1.24E+14
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 12:34 PM
DATE MODIFIED: 8/28/2021 1:50 AM

8. In a raffle with 11 entries, in how many ways can four winners be selected?

a. 330
b. 44
c. 1,663,200
d. 7,920
e. 24
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 12:57 PM
DATE MODIFIED: 8/28/2021 2:00 AM


9. Ten people are tested for HIV. How many different outcomes have four people being ?

a. 210
b. 5,040
c. 24
d. 40
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, 10.1 Principles of Counting

e. 151,200
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 1:07 PM
DATE MODIFIED: 8/28/2021 2:07 AM

10. A jar contains five white balls, nine black balls, and six red balls. In how many ways can two balls of each
color be chosen if order does not matter?

a. 5400
b. 61
c. 270
d. 20
e. 540
ANSWER: a
POINTS: 1
QUESTION TYPE: Multiple Choice
HAS VARIABLES: True
DATE CREATED: 8/13/2021 1:36 PM
DATE MODIFIED: 8/28/2021 2:17 AM




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