Find the probability of selecting 1 red apple and 2 yellow apples. a) How many ways can... A rent-a-car company has 14 available cars on its lot and 3 customers waiting in the office. How many different ways can Mimi arrange the 6 books in her book shelf? a. A safe has a 4-digit lock code that does not include zero as a digit and no digit is repeated. How many... A True/False quiz contains six questions. How many ways can this segment be arranged? © copyright 2003-2021 Study.com. How many samples of 4 trucks can be chosen from the population if the order is important? There are 12 seats, two couples and one group of five. In how many ways can 16 people stand in a line? How many different 2-letter passwords can be formed from the letters I, M, N, O, P, Q, and R if no repetition of letters is allowed? How many different arrangements of the letters in the word "number" can be made? How many ways can we arrange 6 pictures on the wall from left to right, if the left most picture is already chosen? From this collection of thirty students, a group of three students is to be chosen. 4280 b. At the end of the semester, Alice had to complete eight examinations. a. How many different ways can Mimi arrange the 8 books on her bookshelf? In how many ways can 8 men and 8 women stand in a line, alternating in gender? Sciences, Culinary Arts and Personal At a movie festival, a team of judges is to pick the first, second, and third place winners from the 10 films entered. Ten cars are randomly chosen to be displayed in front of the dealership. You can click on a link for the last page viewed to go back to that part of the course. She has 12 courses (no prerequisites for any of them) from which to choose for 3 semesters in an academic year (Fall, Spring, and Summer). There are 6 books in the "Statistics is Fun" series. How many ways can they be arranged if the math books are kept together and the literature books are kept together? RVTSEOA or SVOAERT)? There are seven members on a Board of Directors. How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members? How many ways can two items be selected from a group of seven items? You and your four friends go to a concert. 32,760 b. This is your proof of online course completion. 90 b. In how many ways can she arrange the books if she wants to keep the subject areas toget... Outside a home, there is a 6-key keypad with letters A, B, C, D, E, F that can be used to open the garage if the correct six-letter code is entered. Complete parts (a) through (c) below. In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)? Suppose someone tries to guess your PIN number. What is the possibility that all the people will get their own coat back? Assume the number and letters are chosen at random. There are 3 boys and 2 girls. How many different passwords are there? how many different permutations can you make with the letters in the word s e v e n t e e n ? a) how many ways can 3 boys and 2 girls sit in row? We provide support Monday through Friday from 8:30 a.m. to midnight CST and Saturday and Sunday from 8:30 a.m. to 4:30 p.m. CST. 10080 B. The distance traveled and hence the cost of the trip will... One red flag, three white flags and two blue flags are arranged in line such that: i) No two adjacent flags are of the same color. Go ahead and submit it to our experts to be answered. How many 4 digit numbers can we get by rerranging the digits of the number 4552? How many codes can be formed if there are no restrictions? How many different codes are possible? How many ways can the club choose a President, Vice President, Secretary, and Treasurer? There are 10 members on a board of directors. A delivery truck must make stops in eight different cities, designated by the first letter in the name of the city: A, B, C, D, E, F, G, and H. If the order in which the truck visits the eight loca... (a) Mimi has seven books from the Statistics is Fun series. There are 24 students in a class. Calculate the following. If there are 88 records to select from, in how many ways can the program for this segment be arranged? a. How many different subcommittees are possible? How many license plates can be made using either two uppercase English letters followed by four digits or two digits followed by four uppercase English letters? Download free books in PDF format. When you log out, your progress is recorded so that when you log in again, you can pick up where you left off. There are 25 finalists in a drawing. How many different signals, each consists of 6 flags hung in a vertical line, can be formed from 4 identical red flags and 2 identical blue flags? A student club has 12 members. Assuming no ties, how many ways can 10 horses place first, second, third and fourth place? ii) The flags at the two ends of the line are of different color... How many different five-letter permutations can be formed from the letters in the word "category"? How many ways can they be seated at a dinner table if the table is straight with seats on only one side? Evaluate 5P4. A group of 4 men and 5 women attend a dinner party at La Grenouille, a fancy restaurant in New York. If two dice are rolled, then what is the probability that sum of outcome is prime? How many permutations are there of the following word: bookkeeping? Read online books for free new release and bestseller 720 b. This certificate EXPIRES 90 days after course completion. Test your understanding with practice problems and step-by-step solutions. (a) Find the prob... For a segment of a ratio show, a disc jockey can play 7 records. How many numbers less than 5600 can you make out of 6,9,2,5? There are 29 employees eligible to be on the committee. 3024 c. 2512 d. 1015. Eight trucks are in the parking lot, but only 4 can be driven at any one time. When four golfers are about to begin a game, they often toss a tee to randomly select the order in which they tee off. a. Suppose Ed is going to burn a compact disk (CD) that will contain 99 songs. In how many ways can the people be presented? In how many ways can the three officers, President, Vice-President, and Secretary-Treasurer, be chosen? How many different meals are available when you select... A box contains 6 red balls, 4 yellow balls, and 10 white balls. A notice stating, “Your session has expired due to inactivity” will appear at the top of the course. How many different meals are available when you select an appeti... A singer needs to perform 6 songs , How many different ways can she arrange them ? My grandpa has 10 pieces of art, including 3 prints by Escher. How many different PIN numbers are possible? 10 individuals are candidates for the positions of president and vice president of an organization. How many different choices of officers are possible if Worf and Troi will not serve togeth... What is the probability that a license plate using the letters c, f, and f and numbers 3, 3, 3, and 1 will be cff3133 formula? Takahashi can choose from 5 locations to locate his new business. What is the probability that an employee receives a code with all 5 numbers the, A jeweler has 15 diamond pendants and will display 4 of them from left to right in a glass case. 10,000 passwords b. To get a quick result, the researcher will select a sample of two students. A combination lock uses three distinctive numbers between 0 and 39 inclusive. This function squares the input, multiplies it by 2, and then subtracts 1. In how many ways can the group be seated in a single row if Ann and Bob must sit next to each ot... A group of 4 men and 5 women attend a dinner party at La Grenoville, a fancy restaurant in New York. Six friends go to a movie. _{29}P_{0}. How many different ways can the officers be appointed? Suppose a soft drink company want to perform a taste test on 5 brands of diet cola. How many possibilities are there for selecting the three winners recognizing t... A voice teacher selects 7 students from the class to sing for the trustees. a) How many different orders are possible for these seven teams? Indicate whether the situation involves a combination or a permutation. In how many ways can the word HIPPOPOTAMUS be misspelled? How many lists are possible? The experiment consists of taking three balls from the box, without replacement, and seeing how many of each color you took. In math, an example of this is f(x) = 2x^2 - 1. In how many different ways can she arrange the songs? How many different selections of 3 notebook styles are possible... A textbook sales representative is responsible for 25 schools and needs to choose three of these schools to work with today. How many codes are possible? Contestants a, b, c, d, e, f, and g are in a 10k race. When logging back in, you will be taken to the Course Contents page where you can see the progress you have made. "Your name has gone out under heaven like the sweet honor of some god-fearing king, who rules in equity over the strong: his black lands bear both wheat and barley, fruit trees laden bright, new lambs at lambing time---and the deep sea gives great hauls of fight by his good strategy, so that his folk fare well." How many distinct rearrangements are there of the letters in the word DESTINATIONS which have both the N's together? In how many ways can 10 people be seated on a bench if only four seats are available? There are 11 qualified candidates. (Assume that the order of selection is important.). Earn Transferable Credit & Get your Degree. b. Use the formula for permutations. From a group of six people, three individuals are to be selected at random. How many different ways can the officers be appointed? In how many ways can the letters of the word 'MODULATION' be arranged? There are 8 books in the "Statistics is Fun" series. Our course videos should play in all browsers. How many three-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetitions are not allowed? In how many ways can the letters in the word SHUFFLE be arranged? How many ways can this be done? How many d... A quiz consists of 6 true/false questions and 4 multiple-choice questions. Each department is to select a delegate and an alternate to represent the department at a conference. In how ma... A 3-digit code is to be made from the set of digits {4, 5, 6, 7, 8}. A combination lock uses three distinctive numbers between 0 and 49 inclusive. Services, Working Scholars® Bringing Tuition-Free College to the Community. All pay-up-front courses are available for 90 days from time of registration and payment. How many different codes are available? How many telephone numbers have no repeated digits? Calculate a) Permutations P(6,3). How many possible selections are there? Assume that drawn cards are not replaced and the five cards are drawn only once. It must also appoint a planning committee with five differen... An equestrian club has eight members. There are 11 records to select from. Suppose you have six different books on a shelf with labels A, B, C, D, E, and F. (a) In how many different ways can you arrange the books on the shelf if books A, B, and C are grouped together? How many ways are there to select 3 different flavors from these 24 flavors? Three boys (B1, B2, B2) and three girls (G1, G2, G3) line up in a random order for a photograph. In how many ways can a committee consisting of 5 men and 6 women be formed from a group of 8 men and 10 women? Last Updated on June 18, 2015, by eNotes Editorial. This includes $3.00 for the exam fee and $6.99 for access to study material and unlimited exam attempts. Can't find the question you're looking for? How many 3 letter passwords are possible? You will need to enter your username and the email from your profile, and an email containing the link to reset your password will be sent. Seven math books and three literature books are on a shelf. 4 men and 4 women sit together, but no 2 men or 2 women can sit together.

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