Suppose Set A contains 19 elements and Set B contains 15 elements. If the total number elements in either Set A or Set B is 32, how many elements do Sets A and B have in common? Answer = elements

Q: calculate the number of ways that the first, second, and third place horses can finish in a race…

A:

Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: A volleyball team will be dispatched from a school. If the current volleyball club has 10 members,…

A: A volleyball team has 6 members . Here, there are 10 members in club and we need only 6 of them.

Q: If 10 people are qualified for the next flight of a new space vehicle , how many different groups of…

A: Number of different ways to choose r number of people from a given set of n people is given by…

Q: A set contains 4, 16, and 32 and is closed under addition. \ a. Must 8 be in the set? Why or why…

A: We have to check wheather the elements lies in the set or not

Q: How many license plates consisting of three letters followed by three digits contain no letter or…

A: Here we have to find  out the combination of licence plate where repetition  of  letters and digits…

Q: Suppose that an outfit consists of a shirt and a pair of pants. If you have 4 different shirts and 3…

A:

Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40…

A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the…

Q: In a certain city in the Philippines, all seven-digit telephone numbers begin with 350. How many…

A: Given :  Number of digits in telephone number = 7 First three digits are 350. Last four digits…

Q: In Virginia, each automobile license plate consists of a single letter followed by three digits,…

A: 10×26×26×26×10×10×10

Q: Suppose Set B contains 32 elements and the total number elements in either Set A or Set B is 54. If…

A: Set theory is a sub branch of mathematics which involves the study of sets. Sets are the collection…

Q: How many different committees can be formed from 10 teachers and 30 students if the committee…

A: From the provided information, the total number of teachers = 10The total number of students = 30

Q: Of 10 possible books, you plan to take 4 with you on vacation. How many different collections of 4…

A:

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: A softball league has 13 teams. If every team must play every other team once in the first round of…

A: We are given that there are 13 teams and every team needs to play against every other team. For exam…

Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

A:

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

A:

Q: How many different committees can be formed from 9 teachers and 33 students if the committee…

A:

Q: The board of directors of a corporation must select a president, a secretary, and a treasurer. In…

A:

Q: How many different committees can be formed from 7 teachers and 40 students if the committee…

A: Solution-: Given: Number of teachers =7, Number of students =40 We want to find how many different…

Q: If I have 9 flower pots and 11 different flowers how many different ways can flowers be in each pot?

A: 11C9 ways. that is in 55 way.

Q: A restaurant offers 4 appetizers and 6 main courses. In how many ways can a person order a​…

A: One object from m objects can be selected in mP1 ways.

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. There are…

A: From the given information, there are 50 people. A president and treasurer are chosen from a student…

Q: A teacher has 24 colored pencils and 18 pictures to be placed in groups with the same number of…

A: Question 3:             It is given that a teacher has 24 colored pencils and 18 pictures. The…

Q: How many different committees can be formed from 6 teachers and 48 students if the committee…

A: Given,no.of teachers=6no.of students=48

Q: A large pile of coins consists of pennies, nickels, dimes, and quarters (at least 20 of each). How…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: If a club consist of 15 members, how many different ways are there for the club to fill the…

A: The number of members is 15. The number of position is 3.

Q: A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone…

A: Given Data: The number of digits whole phone number consists of: 10 digits The number of digits the…

Q: A restaurant offers 8 entrees and 9 desserts. In how many ways can a person order a two-course meal?

A: We can find the answer as below.

Q: ow many three-member committees can be formed from a group of seven people?

A:

Q: The organizer of a conference is selecting workshops to include. She will select from 7 workshops…

A: She has to select 6 workshops where atleast 5 must be about music. She can do it 2 way, i. she…

Q: If 1% of a shipment of 2000 light bulbs is defective, how many bulbs in the shipment are NOT…

A: Given, 1%  of a shipment of 2000 light bulbs is defective i.e, number of defective bulbs = 2000 *…

Q: A president, a treasurer, and a secretary are to be chosen from a committee with 30 members. In how…

A:

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: A committee is to consist of three members. If there are six men and seven woman available to serve…

A: given, Number of men=6 Number of women =7 total number of men and women=6+7=13 A committee is to…

Q: Suppose eight team members are girls and six are boys, How many groups of seven can be chosen that…

A: Let n denote the total number of girls, then n=8. Let m denote the total number of boys, then m=6.…

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: “If the product of two counting numbers is an even counting number, then both of the counting…

A:

Q: Assume that five men and five women are to sit in a row of ten chairs how many ways can these people…

A: Five men and five women are sitting in a row of ten chairs.

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: A girl owns 5 pairs of pants, 5 shirts, 4 ties, and 2 jackets. How many different outfits can the…

A:

Q: How many 3-letter words can be made from the letters MATH if repetition of letters is allowed?…

A: We have given that a four letter word MATH from which we can made 3 letter words in two different…

Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: A book club offers a choice of 5 novels from a list of 10. How many 5-novel selections can be made?

A: Given data: The total numbers of books are n=10. The numbers of novels selected are x=5.

Q: How many dierent 6 card hands can be dealt from a deck of 52 cards

A: This question related to the topic combination.

Q: Suppose there are 8 male professors and 5 female professors teaching a Math class. How many ways can…

A: Sum rule principle:   Let E1 denote the first event that an occur in m ways and then E2 denote the…

Q: If a club consists of 12 members, how many different ways are there for the club to fill the…

A: Given,total members=12