Basic Math question and answers for August 18, 2024
- Q For a Halloween party, each guest can choose from the 15 different kinds of candy to have in a prize bag. If any number of candy types can be chosen,...
- Q A clinical test on humans of a new drug is normally done in three phases. Phase I is conducted with a relatively small number of healthy volunteers. For example, a...
- Q A corporation must appoint a president, chief executive officer (CEO), chief operating officer (COO), and chief financial officer (CFO) It must also appoint a planning committee with three different members....
- Q For a Halloween party, each guest can choose from the 8 different kinds of candy to have in a prize bag. If any number of candy types can be chosen,...
- Q A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How many...
- Q The number of hits to a website follows a Poisson process. Hits occur at the rate of 2.2 per minute between 7:00 P.M. and 9:00 P.M. Given below are three...
- Q Douglas is going to visit 6 cities this summer. He will choose from 12 different cities and the order in which he visits the cities does not matter. How many...
- Q Josh is choosing between the 8 different types of chips in the vending machine. If any number of chips types can be chosen, how many chip type combinations are possible?Select...
- Q Raymond is working a word puzzle and is looking for four-letter "scrambles" from the clue wordcalculate.a) How many of the possible four letter scrambles contain four different letters?b) How many...
- Q Suppose thirteen people qualify for a college cheerleading squad, eight are men and 5 are women. If a 6 member squad is selected, what is the probability that the squad...
- Q Jason works as an administrative assistant for a local lawyer's office. The office is running low on pens and notepads, so he is asked to buy $150 worth of pens...
- Q Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and purple.(a)How many ways can this be done, if the order of the choices...
- Q A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters D,...
- Q A certain train has 11 cars that are being lined up on a track. One of the cars is the engine, and another is the caboose. The engine will be...
- Q Suppose we want to choose 5 letters, without replacement, from 9 distinct letters.(a) How many ways can this be done, if the order of the choices is not taken into...
- Q Suppose we want to choose 5 colors, without replacement, from 14 distinct colors.(a) If the order of the choices is relevant, how many ways can this be done?(b) If the...
- Q Shen is putting 10 books in a row on his bookshelf. He will put one of the books, Gulliver's Travels, in the first spot. He will put another of the...
- Q In an experiment, a fair coin is tossed 12 times and the face that appears (H for head or T for tail) for each toss is recorded.How many elements of...
- Q Bob is planning to pack 6 shirts and 3 pairs of pants for a trip. If he has 15 shirts and 8 pairs of pants to choose from, in how...
- Q The environment club is electing a president, vice president, and treasurer. How many different ways can the officers be chosen from the 6 members?A. 196B. 180C. 150D. 120
- Q A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic transmission, with or without power windows, and...
- Q An individual can be classified by gender as male, female, by hair color as black, blonde, brown, and by eye color as black, brown.a) How many different classifications are possible...
- Q In a given city, there are 5 body styles of cars. Any of the body styles can come in 1 of 4 colors.How many cars need to be on the...
- Q While making up his schedule for spring semester, Tom complains that he doesn't have very many choices of schedule because of the general education requirements he has to meet. His...
- Q Diana Baniak, searching for an Ecology class, knows that it must be in one of ten classrooms. Since the professor does not allow people to enter after the class has...
- Q ETA standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (allblack). Of the 752,538,150 different...
- Q Yogi's picnic basket contains two types of lunch meat and four kinds of bread.Boo Boo's picnic basket contains five additional types of lunch meat and threeadditional kinds of bread. How...
- Q DIRECTIONS: Read the facts carefully for each question. First answer, is it asking for a permutation, or a combination? Explain why. Then answer the question:1/ Ben has 6 shirts, 4...
- Q How many ways can 2 men and 2 women be selected for a debate tournament if there are 10 male finalists and 11 female finalists?
- Q A professor has five different tasks to assign, one to each of her five teaching assistants. In how many different ways could she make the assignments?There are ... different ways...
- Q A Civil Air Patrol unit of fourteen members includes four officers. In how many ways can three members be selected for a search and rescue mission such that at least...
- Q If license numbers consist of three letters followed by four digits, how many different licenses could be created having at least one letter or digit repeated?There are license plates that...
- Q Among the 2,598,960 possible 5-card poker hands from a standard 52-card deck, how many contain at least one king (complement of "no kings" )?Dealt from a standard deck,hands contain at...
- Q A doughnut shop has a special on its Mix-n-Match selection, which allows customers to select three doughnuts from the following varieties: frosted, apple cider, maple, Boston creme, plain, peanut butter,...
- Q Katrina, Jim, Larry, Tyrone, Dawn, lan, and Maria have all been invited to a dinner party. They arrive randomly and each person arrives at a different time.a. In how many...
- Q In the exercise, use permutations, combinations, the fundamental counting principle, or other counting methods, as appropriate. How many different 5-card poker hands would only contain cards of a single suit?
- Q In a group of 10 people, 4 ofthem will be selected toserve as members of acommittee. How many wayscan these 4 people beselected from the group of10?
- Q A committee of seven Congressmen will be selected from a group of eleven Democrats and four Republicans. Find the number of ways of obtaining a committee with exactly three Democrats.There...
- Q A contractor builds homes of 12 different models and presently has 3 lots to build on. In how many different ways can he arrange homes on these lots? Assume 3different...
- Q A baseball team has 3 pitchers, who only pitch, and 21 other players, all of whom can play any position other than pitcher. For Saturday's game, the coach has not...
- Q Television and radio stations use four call letters starting with W or K, such as WXYZ or KRLD. Assuming no repetitions in the second to fourth letters, how many four-letter...
- Q The department oftransportation is trying tofigure out how many distinctlicense plates can be madewith 8 characters, someletters and some digits. Forexample: XA12BN35.Should they calculate thepermutations orcombinations of thecharacters?
- Q The lunch menu at Ma Kelly's Restaurant offers five entrees, four salads, and three desserts. IfRick always orders one of each, how many days can he eat lunch at the...
- Q Determine the number of combinations (subsets) of the following.10 objects taken 6 at a timeThere are combinations of 10 objects taken 6 at a time.
- Q Evaluate the expression.13C513C5 =
- Q In how many ways could nine people be divided into two groups of four people and one group of one person?Nine people could be divided into two groups of four...
- Q How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people?The number of ways to choose a president, vice-president, secretary, and treasurer is...
- Q A club is made up of the members listed below. Assuming that all members are eligible, but no one can hold more than one office, list and count the different...
- Q An electronics store receives a shipment of 20 graphing calculators, including 5 that are defective. Four of the calculators are selected to be sent to a local high school. How...
- Q In the 6/52 lottery game, a player picks six numbers from 1 to 52. How many different choices does the player have if repetition is not allowed? Note that the...
- Q You want to do a survey of members of the junior class at Onslow HighSchool in North Carolina. You want the sample to be a simple randomsample. Your goal is...
- Q In how many ways could a club select two members, one to open their next meeting and one to close it, given that Alan will not be present?N=(James, Sandy, Jane,...
- Q Counting numbers are to be formed using only the digits 7, 8, and 9. Determine the number of different possibilities for the type of number described below.Four-digit numbers with one...
- Q In a window display at a flower shop, there are 3 spots for 1 plant each. To fill these 3 spots, Adam has 9 plants to select from, each of...
- Q C) A TEACHER DECIDES TO GIVE SIX IDENTICAL PRIZES TO 6 OF THE 20 STUDENTS INHIS CLASS. IN HOW MANY WAYS CAN THIS BE DONE?D) HOW MANY DISTINCT ARRANGEMENTS CAN...
- Q A jar contains 69 jelly beans: 19 lemon, 15 watermelon, 15 blueberry, and 20 grape. Suppose thattwo jelly beans are randomly selected in succession without replacement (because you are eatingthem...
- Q 2. One apartment complex offers apartmentswith four different options, designated by Athrough D.AonebedroomtwobedroomsthreebedroomsfourbedroomsBonebathroomtwobathroomsCfirst floorsecond floorD lake viewgolf courseviewno specialviewHow many apartment options are available?
- Q One hundred sixty-five people each purchased one raffle ticket. Three winning tickets are randomly selected. If the first prize is $500, the second prize is $300, and the third prize...
- Q For her show "Outfront," Alicia can air 2 segments. If she has 14 segments to select from, in howmany ways can she arrange the segments for her show?
- Q You are thinking of purchasing a can of broth. At the grocery store, you observed that broth comes in 6 brands, 5 flavors, and in regular or reduced sodium varieties....
- Q Determine whether each situation is a permutation or combination. Explain your reasoning.(a) 6 people passing through a turnstileThe situation is a permutation since order matters.The situation is a combination since...
- Q In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 12 boys and 6 girls are competing,...
- Q A company has 8 male and 6 female employees, and needs to nominate 2 men and 2 women for the company bowling team. How many different teams can be formed?
- Q The BAHS gaming club is trying to assemble a team of 7 players to play APEX legends competitively. The club currently consists of 9 seniors and 4 juniors. How many...
- Q Defective electronics: A team of designers was given the task of reducing the defect rate in the manufacture of a certain printed circuit board. The team decided 987 boards were...
- Q Until 1995, the rules for three-digit area codes in the United States were as follows: The first digit could not be 0 or 1. The second digit had to be...
- Q A certain lottery has 26 numbers. In how many different ways can 5 of the numbers be selected? (Assume that order of selection is not important.)There are different ways the...
- Q In how many ways can a girl choose a two-piece outfit from 5 blouses and 7 skirts?12 70 3514
- Q From the 7 male and 10 female sales representatives for an insurance company, a team of 2 men and 4 women will be selected toattend a national conference on insurance...
- Q Tina must select and answer in any order three of six essay questions on a test. In how many ways can she do so?Tina can select and answer the essay...
- Q At a music festival, there are six bands scheduled to play, numbered 1 through 6.a. How many different ways can these bands be arranged to perform?b. If band 4 is...
- Q In how many ways could members of the following club line up all 9 members for a photograph?N = {James, Sandy, Jane, Alan, Tammy, Cathy, David, Sandy, Ashley}way(s)
- Q Jenny White is shopping for CDs. She decides to purchase 4 movie soundtracks. The music store has 9 different movie soundtracks in stock. How many different selections of movie soundtracks...
- Q A panel containing four on-off switches in a row is to be set. Assuming no restrictions on individual switches, use the fundamental counting principle to find the total number of...
- Q If two states are selected at random from a group of 20 states, determine the number of possible outcomes if the group of states are selected with replacement or without...
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