4 Pts] If I have 5 bananas, 3 oranges, and 6 apples, how many ways can I distribute these o 14 friends, if each friend gets one fruit? Describe the kind of combinatorial problem you are solving.
Q: QUESTION 23 There are 150 seats in the auditorium. 40 located on the left; 50 located on the right;…
A: At least 23 means 23 or 24 or 25.There are 60 seats which are located in the center. So (150-60)=90…
Q: a) Without restriction? b) With each person getting at least one pear?
A: The objective is to distribute eight (identical) apples, six oranges, and seven pears among three…
Q: #20 For a social studies project students get to choose between 10 time periods, 4 essential…
A: 10 time periods so combination to choose one time period =C110=10 4 essential questions so…
Q: How many ways can 10 used cars at a parking lot be parked in a row if the 4 different black cars…
A:
Q: 1. A restaurant is preparing a large round table with 2 +1 seats (the seats are unla- belled). The…
A: Given, Number of available seats = 2n+1 Number of red napkins = n+1 Number of blue napkins = n
Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…
A:
Q: (a) A machinist produces 19 tooling parts during a shift. Two of the 19 items are defective, and the…
A: Permutation and combination used to calculate the number of possible ways to arrange or select a…
Q: The formula for calculating the sum of all natural integers from 1 to n is well-known: n² + n 2 Sn =…
A: Given: Sn= 1+2+3+.......................+n = n2+n2and,Qn=1.1+2.2+3.3+...............+n.n=n33+n22+n6
Q: In how many ways can the television director of Exer-cise 38 fill the six time slots for commercials…
A:
Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…
A: According to the answering guidelines, we can answer only one question at a time and the rest can be…
Q: Suppose you are performing a forward selection and are on you second step. Afterthe first step you…
A: We know that, In a forward selection method, we add a variable in each step according to its…
Q: 3. Give combinatorial proof of a k (") = n () k-1
A: We know that the combination formula: C(n,r) = n!/(n-r)!r!
Q: 8. How many ways are there to arrange 12 identical apples and five different oranges in a row so…
A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 1. The class Council is selling T-shirts that come in 3 colors ( yellow, blue, white) and 4 sizes…
A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…
Q: Suppose that 32 students signed up for classes during an orientation session. If exactly 20 of them…
A: Total number of students signed up for classes during an orientation session=32. Number of students…
Q: Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to…
A: Solution Determine the probability of a composition shingle roof claim out of 10,000 = 7/10000 =…
Q: 2. A round-robin tournament, each team plays every other team exactly once. Use mathematical in- n2…
A:
Q: A machinist produces 22 items during a shift. Three of the 22 items are defective and the rest are…
A: Here Given there are total 22 items produced during shifts and 19 are non defective and identical…
Q: A6-foot sub valued at $35 is divided among five players, (P,, P2, P3, Pa, Ps) using the…
A:
Q: a)Show by one combinatorial method that: 2 2 n C) - () - (") 2n +... + 2 n
A: Given information: The following identity is provided: n02+n12+n22+................+nn2=2nn It is…
Q: 1. In how many different ways can you arrange five flags in a row if there are two red flags and…
A: Total no.of flags can be arrange in a row = 5 No.of red flags = 2 No.of blue flags = 3 The no.of…
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: 2. Is there an element of order 6 in S4? Explain.
A: 2) Firstly write the decomposition of 4 in all the possible ways S4 can have elements of order of…
Q: 2. In a group of 6 males and 4 females, four technologists are to be selected. In how many different…
A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…
Q: (a) How many arrangements of the letters in COMBINATORICS have no con- secutive vowels? (b) In how…
A:
Q: 8. In a fruit feast among 200 students, 88 chose to eat durians, 73 ate mangoes, and 46 ate litchis.…
A:
Q: What is the standard error?
A: Test is that if LESS than 95% of the dogs in the city have been vaccinated with their rabies…
Q: 3. Is there an element of order 6 in S3? Explain.
A: S5 is a symmetric group of order 5.
Q: 6. In a group of 60 people, 27 prefer cold drinks and 42 prefer hot drinks, with each participant…
A: Given that We have to find the number of individual who enjoy both coffee and tea:…
Q: A2. a. A company decided to distribute 5 identical computers among its employees. In how many…
A: The number of identical computers is 5. The number of distinct people is 3. Since, each employee…
Q: salesperson is scheduling 5 meetings in one day. In how many different ways can the salesperson…
A:
Q: What is the Z obt?
A: Test is that if LESS than 95% of the dogs in the city have been vaccinated with their rabies…
Q: a) How many ways are there to do this?
A: nCr=n!r!(n-r)!
Q: What kind of test will you need to perform
A: Let p be the proportion of dogs in the city who have been vaccinated with their rabies vaccine. Test…
Q: A computer operator must select 4 jobs from 10 available jobs waiting to be completed. How many…
A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…
Q: 4. In some states,license plates consist of 3 letters followed by 2 or 3 digits (for example, JWK-…
A: Given: 4) License plates consist of 3 letters followed by 2 or three digits. To find: How many such…
Q: The local elementary school PTA is forming a 5-member committee to organize the campus…
A: Consider the provided question, (a) Find the number of ways can the committee be formed with no…
Q: 1. Find the number m of ways that a class X with ten students can be partitions into four teams A1,…
A: We are supposed to answer?️ only one question. Kindly repost other question as the next question.
Q: 2. A research Development department at Oda manufacturing company determines that 20% of people who…
A:
Q: The five most common words appearing in spam emails are shipping!, today!, here!, available, and…
A: Since you have posted question with multiple sub-parts, we will solve first 3 sub-parts for you. To…
Q: A psychology lab doing research in dreams has 4 rooms (1,2,3, and 4), each containing 2 beds (A and…
A: Given: There are 3 rooms with 2 beds each. 3 pairs of twins are to be assigned to these 6 beds so…
Q: 4 Suppose that a goup of 150 students have joined at least one of the chat rooms: one on auto…
A:
Q: An analysis of first-year students at a college revealed that 1/5 of the first-year women were from…
A: Problems involving fractions of a unknown quantity can be solved by denoting the quantity as some…
Q: In an experiment, there are 5 possible conditions, and you would like each participant to receive 3…
A: Given information 5 possible conditions Each participant to receive 3 out of 5.
Q: 3) Consider the number of ways n(6) in which 6 identical items can be divided into some groups of…
A: Given: Permutations are used to pick data or objects from a group, whereas combinations are used to…
Q: 1. A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5 : 2:2: 1. A…
A: We will use Chi square goodness of fit test to test the hypothesis that the machine is mixing the…
Q: A research Development department at Oda manufacturing company determines that 20% of people who…
A: The percentage of a whole is equal to the parts of the whole when a total of 100 parts of the whole…
Q: 32. A track coach must choose a 4-person 400 m relay team and a 4-person 800 m relay team from a…
A:
Q: A bag contains 5 black and 4 white balls. In how many ways can we draw from the bag groups of 3…
A:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
- Explain the differences between Gaussian elimination and Gauss-Jordan elimination.2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Suppose you are going to randomlysample 1 individual from a population of160 people. In the population, there are50 children younger than 12, 70teenagers, and 40 adults. What is theprobability the individual you select willbe a teenager or an adult? Show solution.
- find the mximum possible order of S57. Consider a candy with 4 flavors; assume that you have a bag of this candy with many pieces of each. Imagine that you are on a strict diet that only allows you to eat 4 pieces of candy, and that to maximize your enjoyment of your treat, you will be eating this candy one piece at a time. Third, how many steps are there in this experiment? Note that the numbers of candy pieces may have changed from the previous question.Q15) A cookie jar containts 15 chocolate chip and 5 oatmeal cookies. If 3 cookies are randomly selected, what is the probablity at least one is an oatmeal cookie? (Find TWO METHODS to calculate this problem, and show the work)
- A cognitive psychologist is interested in the effect that sleep has on daily stress levels. To investigate this, the psychologist recruits 88 participants and splits them equally into either a group that gets less than six hours of sleep each night or a group that gets more than six hours of sleep each night. At the end of each day, participants are asked to report their overall level of stress each day for a month. Those who had fewer than six hours of sleep on average reported stress levels of 6.3 (with most people falling within 1.7 hours of this average). However, those who had more than six hours of sleep reported stress levels of 3.5 (with most people falling within 2.8 hours of this average). Help the psychologist estimate the difference in stress levels based on amount of sleep. What would be the smallest amount of difference in stress in two populations that either got more or less than six hours of sleep? Does this study meet an assumption of HOV? For this study, what kind…Workers in Company XYZ used 200 computers for their daily operation. In that company, the computers are categorized into type A and B. The workers usually complained that they experience performance problems with the computers more than once per week. Based on a survey, the company found that fifty of the Type A computers will encounter problems more than once per week. Meanwhile seventy-five of the Type B computers do not experience problems more than once per week. There are 120 Type B computers in the company. Based on the above scenario determined whether the events “Type A computer” and “experience problems more than once per week” are independent event? Explain.