small combination on a suit case has 5 wheels, each labeld with 10 digits 0 to 9. How many 5 digit combinations are possible if no digit is repeated? If digits can be repeated? If successive d

Q: In how many ways can 4 out of 6 films be shown one after the other

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Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

A: a) If each is to receive a $20 gift certificate to a restaurant then the arrangement does not…

Q: A machine puts out 16 imperfect articles in a sample of 500. After the machine is over-hauled, it…

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Q: a) How many 8-letter permutations can be made from the word TRIANGLE if the first letter must be A…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: A fair coin is tossed 5 times and the sequence of heads and tails is observed. How many outcomes…

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Q: (a) a certain test tube contains 2 micro-organisms, (b) exactly 3 out of 5 test tubes contain 2…

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Q: 3. A committee of 7 people is to be chosen from a group consisting of 7 men and 9 women. If the…

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Q: James rolls a die once. If event A is getting an odd number, and event B is getting an even number,…

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Q: How many ways are there to choose 20 co-op candidates out of 30 students to send to work at the same…

A: For the solution follow the next step.

Q: A fair coin and 2 weighted coins with Pr[H]= 3/4 are in a bag. One is selected at random and then…

A: From the given information, A fair coin and 2 weighted coins are there in a bag. One is selected at…

Q: 3. A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

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Q: If there are nine distinct items 3 at a time, how many permutations will there be

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Q: how many ways can 5 textbooks, 3 coffee table books and 2 novels be arranged if the textbooks must…

A: This question is from permutation We have to calculate, in how many ways 5 textbooks, 3 coffee table…

Q: Current rules for telephone area codes allow the use of digits​ 2-9 for the first​ digit, and​ 0-9…

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Q: (d) Suppose two team members insist on either working together or not at all on projects. How many…

A: A computer programming team has 9 member. (d) Suppose 2 team member insist on working together or…

Q: A man finished a job in 5 days. On the first day, he finished 1/m of the job. On the second day, he…

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Q: 4. How many 5 digit numbers can be formed if a) the digits 2-8 are available and there must be at…

A: 4. It is required to form 5 digit numbers under two different sets of conditions.

Q: A certain compact disc player randomly plays each of 10 songs on a CD. Once a song is played, it is…

A: The compact disk randomly plays each of the 10 songs on a CD in such a way that they are repeated…

Q: 5. Lisa invites 5 friends over to her house on very short notice so they may not all be able to come…

A: The combination is a technique to determine the number of probable arrangements from a set of…

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: 2. At an eSports tournament, m American, n Canadian, and k Korean League of Legends players sit in a…

A: Given information: Number of American players = m Number of Canadian players = n Number of Korean…

Q: a. If there are 8 different colors of foot balls are available in a sports shop, in how many wavs…

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Q: How many different 7-letter words can be made a. if the first letter must be B or X and no letter…

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Q: Solve all of these follwing Question: (A): From a group of 7 men and 6 women, five persons are to be…

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Q: A group of 30 people have been trained as astronauts to go on the first mission to Mars. How many…

A: Given that, The total number of people in the group is 30. And, a crew of six people to go on a…

Q: A department store wants to send codes for  $15  off a  $75  purchase to the subscribers of its…

A: The coupon code have three letters followed by one digit and followed by one  letter. i.e. we have…

Q: Suppose that in a certain state, all automobile license plates have three uppercase letters followed…

A: There are 26 letters [A-Z] and 10 digits [0-9] d) If the letters and digits are distinct then we can…

Q: 3- Practiôns 7 At a pet store, 10 of the puppies are black and of the puppies are 10 white. If you…

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Q: A TV game show selects four contestants from an audience of 26 people. If the same 26 people showed…

A: Given: Total number of people=26Number of people selected=4 The permutation formula is applied when…

Q: 23. How many ways may 5 students be elected from a club with 45 members? 24.How many two-digit…

A: 23) Total number of members = 45 Number of members to be selected = 5 Number of ways the selection…

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: License plates in a particular state are to consist of 3 digits followed by 2 uppercase letters. How…

A: no.of digits=10  (0 to 10)no.of uppercase letters=26   (A to Z) 9 ways fill it (0 , 2, 3...10) 9…

Q: Suppose there are 5 sections (A, B, C, D, and E) in the Final Exam Question (STA 201, summer 2020).…

A: Given, there are 5 sections (A, B, C, D, E). a). The number of ways in which the student can fail in…

Q: (a) How many different collections of 50 coins can be chosen if there are at least 50 of each kind…

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Q: A student taking an examination is required to answer exactly 10 out of 15 questions. in how many…

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Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: Four married couples have bought 8 seats in the same row for a concert. In how many ways can they be…

A: Given: Number of seats = 8

Q: 1. Suppose there are 310 million people in the US, and suppose 180 million are vaccinated. There are…

A: The percent of a in b can be obtained by the expression ab×100. The value of a% of b can be obtained…

Q: How many 4-digit pin codes can be made using the numbers 0 up to 9 if repetition is not allowed and…

A: Solution Total number of digits from 0 to 9 = 10

Q: How many strings of eight English letters are there a) that contain no vowels, if letters can be…

A: Given the question that, How many strings of eight English letters are there- a) that…

Q: 1. A group of 9 people consisting of 4 mothers and 5 children bought tickets for the cinema in the…

A: Given, 4 Mothers and 5 Children

Q: If 4 marbles are picked randomly from a jar containing 8 red marbles and 7 blue marbles, in how many…

A: Given Red marbles = 8 Blue marbles = 7

Q: Based on the slot machine shown to the right, in how many ways can we obtain oranges on all three…

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Q: A bagel shop has a selection of 8 different kinds of bagels (at least 10 of cach). ( .1) How many…

A: Given, A bagel shop has a selection of 8 different kinds of bagels. At least 10 of each.

Q: 8. Find the number of different salads consisting of one or more of these vegetables – Tomatoes,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A certain restaurant prepared meals during the pandemic for the first-responders. If they prepared 5…

A: We will construct a linear equation according to the given conditions and will solve it. Given that…

Q: . a) How many ways can 6 people be lined up to get on a bus? o) If a certain 3 persons insist on…

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Q: 4. Given the following digits: 2. 3. 5. 6, 7,9. a. How many 3-digit mumber combinations can be made…

A: The permutation is calculated for the values which are arranged in the order from. It is denoted as…

Q: A committee of 3 men and 3 women are to be chosen from a group of 7 men and 6 women. The oldest of…

A: