 12.1.1: Suppose that you want to investigate the influence of light and fer...
 12.1.2: Suppose that you want to investigate the effects of leaf damage on ...
 12.1.3: , a lady beetle, is an important predator of egg masses of , the Eu...
 12.1.4: To test the effects of a new drug, you plan the following clinical ...
 12.1.5: The MuesliMix is a popular breakfast hangout near a campus. A typi...
 12.1.6: To study sex differences in food preferences in rats, you offer one...
 12.1.7: The genome of the HIV virus consists of 9749 nucleotides. There are...
 12.1.8: Automated chemical synthesis of DNA has made it possible to custom...
 12.1.9: You plan a trip to Europe during which you wish to visit London, Pa...
 12.1.10: Five people line up for a photograph. How many different lineups ar...
 12.1.11: You have just bought seven different books. In how many ways can th...
 12.1.12: Four cars arrive simultaneously at an intersection. Only one car ca...
 12.1.13: How many fourletter words with no repeated letters can you form fr...
 12.1.14: A committee of 3 people must be chosen from a group of 10. The comm...
 12.1.15: Three different awards are to be given to a class of 15 students. E...
 12.1.16: You have just enough time to play 4 songs out of 10 from your favor...
 12.1.17: Six customers arrive at a bank at the same time. Only one customer ...
 12.1.18: An amino acid is encoded by triplet nucleotides. How many different...
 12.1.19: A bag contains 10 different candy bars. You are allowed to choose 3...
 12.1.20: During International MovieWeek, 60 movies are shown. You have time ...
 12.1.21: A committee of 3 people must be formed from a group of 10. How many...
 12.1.22: A standard deck contains 52 different cards. In how many ways can y...
 12.1.23: An urn contains 15 different balls. In how many ways can you select...
 12.1.24: Twelve people wait in front of an elevator that has room for only 5...
 12.1.25: Four As and five Bs are to be arranged into a nineletter word. How...
 12.1.26: Suppose that you want to plant a flower bed with four different pla...
 12.1.27: Amin owns a 4GB music storage device that holds 1000 songs. How ma...
 12.1.28: Abookstore has 300 science fiction books. Molly wants to buy 5 of t...
 12.1.29: A box contains five red and four blue balls. You choose two balls. ...
 12.1.30: Twelve children are divided up into three groups, of five, four, an...
 12.1.31: Five As, three Bs, and six Cs are to be arranged into a 14 letter ...
 12.1.32: A bag contains 45 beans of three different varieties. Each variety ...
 12.1.33: Let S = {a, b, c}. List all possible subsets, and argue that the to...
 12.1.34: Suppose that a set contains n elements. Argue that the total number...
 12.1.35: In how many ways can Brian, Hilary, Peter, and Melissa sit on a ben...
 12.1.36: Paula, Cindy, Gloria, and Jenny have dinner at a round table. In ho...
 12.1.37: In how many ways can you form a committee of three people from a gr...
 12.1.38: In how many ways can you form two committees of three people each f...
 12.1.39: A collection contains seeds for four different annual and three dif...
 12.1.40: In diploid organisms, chromosomes appear in pairs in the nuclei of ...
 12.1.41: Sixty patients are enrolled in a small clinical trial to test the e...
 12.1.42: One hundred patients wish to enroll in a small study in which patie...
 12.1.43: Expand (x + y)4.
 12.1.44: Expand (2x 3y)5.
 12.1.45: In how many ways can four red and five black cards be selected from...
 12.1.46: In how many ways can two aces and three kings be selected from a st...
 12.1.47: In the game of poker, determine the number of ways exactly two pair...
 12.1.48: In the game of poker, determine the number of ways a (five cards of...
 12.1.49: In the game of poker, determine the number of ways (four cards of t...
 12.1.50: In the game of poker, determine the number of ways a (five cards wi...
 12.1.51: Counterpoint is a musical term that means the combination of simult...
 12.1.52: Counterpoint is a musical term that means the combination of simult...
Solutions for Chapter 12.1: Counting
Full solutions for Calculus For Biology and Medicine (Calculus for Life Sciences Series)  3rd Edition
ISBN: 9780321644688
Solutions for Chapter 12.1: Counting
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus For Biology and Medicine (Calculus for Life Sciences Series) was written by and is associated to the ISBN: 9780321644688. Since 52 problems in chapter 12.1: Counting have been answered, more than 11235 students have viewed full stepbystep solutions from this chapter. Chapter 12.1: Counting includes 52 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus For Biology and Medicine (Calculus for Life Sciences Series), edition: 3.

Determinant
A number that is associated with a square matrix

Dihedral angle
An angle formed by two intersecting planes,

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Domain of a function
The set of all input values for a function

Fibonacci numbers
The terms of the Fibonacci sequence.

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Fivenumber summary
The minimum, first quartile, median, third quartile, and maximum of a data set.

Focus, foci
See Ellipse, Hyperbola, Parabola.

Higherdegree polynomial function
A polynomial function whose degree is ? 3

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Modified boxplot
A boxplot with the outliers removed.

Nonsingular matrix
A square matrix with nonzero determinant

Reciprocal function
The function ƒ(x) = 1x

Root of a number
See Principal nth root.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

Symmetric about the yaxis
A graph in which (x, y) is on the graph whenever (x, y) is; or a graph in which (r, ?) or (r, ?, ?) is on the graph whenever (r, ?) is

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Terminal side of an angle
See Angle.

Variable
A letter that represents an unspecified number.

Vertical asymptote
The line x = a is a vertical asymptote of the graph of the function ƒ if limx:a+ ƒ1x2 = q or lim x:a ƒ1x2 = q.