Analyzing Survey Data In a consumer survey of 500 people, 200 indicated that they would

The ________ of A and B consists of all elements in either A or B or both.

The ________ of A with B consists of all elements in both A and B.

True or False The intersection of two sets is always a subset of their union.

True or False If A is a set, the complement of A is the set of all the elements in the universal set that are not in A.

If each element of a set A is also an element of a set B, we say that A is a of B and write A B.

If the number of elements in a set is a nonnegative integer, we say that the set is .

If A and B are finite sets, the Counting Formula states that n(A B) = .

True or False If a task consists of a sequence of three choices in which there are p selections for the first choice, q selections for the second choice, and r selections for the third choice, the task of making these selections can be done in different ways.

Write down all the subsets of 5a, b, c, d6.

Write down all the subsets of 5a, b, c, d, e6.

If and find n1A B2

If and find n1A B2.

If and find n1A2.

If and find n1A2.

How many are in set A?

How many are in set B?

How many are in A or B?

How many are in A and B?

How many are in A but not C?

How many are not in A?

How many are in A and B and C?

How many are in A or B or C?

Shirts and Ties A man has 5 shirts and 3 ties. How many different shirt and tie arrangements can he wear?

Blouses and Skirts A woman has 5 blouses and 8 skirts. How many different outfits can she wear?

Four-digit Numbers How many four-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0? Repeated digits are allowed.

Five-digit Numbers How many five-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 if the first digit cannot be 0 or 1? Repeated digits are allowed.

Analyzing Survey Data In a consumer survey of 500 people, 200 indicated that they would be buying a major appliance within the next month, 150 indicated that they would buy a car, and 25 said that they would purchase both a major appliance and a car. How many will purchase neither? How many will purchase only a car?

Analyzing Survey Data In a student survey, 200 indicated that they would attend Summer Session I and 150 indicated Summer Session II. If 75 students plan to attend both summer sessions and 275 indicated that they would attend neither session, how many students participated in the survey?

Analyzing Survey Data In a survey of 100 investors in the stock market, 50 owned shares in IBM 40 owned shares in AT&T 45 owned shares in GE 20 owned shares in both IBM and GE 15 owned shares in both AT&T and GE 20 owned shares in both IBM and AT&T 5 owned shares in all three (a) How many of the investors surveyed did not have shares in any of the three companies? (b) How many owned just IBM shares? (c) How many owned just GE shares? (d) How many owned neither IBM nor GE? (e) How many owned either IBM or AT&T but no GE?

Classifying Blood Types Human blood is classified as either Blood is also classified by type:A, if it contains an A antigen but not a B antigen; B, if it contains a B antigen but not an A antigen;AB, if it contains both A and B antigens; and O, if it contains neither antigen. Draw a Venn diagram illustrating the various blood types. Based on this classification, how many different kinds of blood are there?

Demographics The following data represent the marital status of males 18 years old and older in 2007. (a) Determine the number of males 18 years old and older who are widowed or divorced. (b) Determine the number of males 18 years old and older who are married, widowed, or divorced.

Demographics The following data represent the marital status of females 18 years old and older in 2007. (a) Determine the number of females 18 years old and older who are widowed or divorced. (b) Determine the number of females 18 years old and older who are married, widowed, or divorced.

Stock Portfolios As a financial planner, you are asked to select one stock each from the following groups: 8 DOW stocks, 15 NASDAQ stocks, and 4 global stocks. How many different portfolios are possible?

Make up a problem different from any found in the text that requires the addition principle of counting to solve. Give it to a friend to solve and critique.

Investigate the notion of counting as it relates to infinite sets. Write an essay on your findings.