four construction companies each offer bids on three distinct city contracts.a particular company will be awarded at most one city .how many different ways can the bids be awarded?
four construction companies each offer bids on three distinct city contracts.a particular company will be awarded...
Five construction companies each offer bids on three DISTINCT Department of Transportation (DOT) contracts. A particular company will be awarded at most one DOT contract. a) How many different ways can the bid be awarded? b) Under the assumption that the simple events are equally likely, find the probability that company 2 is awarded a DOT contract. c) Suppose that companies 4 and 5 have submitted non-competitive bids. If the contracts are awarded at random by the DOT, find the...
Assignment LP Model The Shang-ho Project Development and Construction Company has just been awarded a chemical plant construction contract. The contract terms require that at least five (5) other smaller companies be awarded subcontracts for portions of the total work. Shang-ho therefore requested bids from five (5) shortlisted small companies to do subcontract work in five (5) areas. Because of the production capacity, each company can work only in one area. The bids submitted by the companies, in thousands of...
In a cohort of thirty graduating students, there are three different prizes to be awarded. If no student can receive more than one prize, in how many different ways could the prizes be awarded?
Firms F1, F2, F3, F4, F5 offer bids on three separate contracts C1, C2, C3. Any firm will be awarded at most one contract. The contracts are such that C1 awarded to F1 is distinguished from C2 to F1. (a) E3 is the event that F3 is awarded a contract. List the elements in E3 and find the probability of E3. (6) E2 is the event that F2 is awarded a contract. List the elements in E2 N E3. Find...
2. The Chicago Board of Education is taking bids on the city's four school bus routes. Four companies have made the bids given in the following table. **Use excel solver Company 1 Company 2 Company 3 Company 4 Route 1 Route 2 Route 3 Route 4 2500 3000 1500 4000 4000 3000 2000 4000 5000 a. Suppose that each bidder can only be assigned to one route. Develop a model to find out how Chicago could minimize its cost of...
9. There are four distinct bowls on the table. I wish to distribute 11 chips among the four bowls a) Suppose every chip is distinct. In how many ways can I distribute the chips? Note: Every distribution is possible; that is, I could put all 11 chips in one of the bowls, or I could put one chip in each of the first three bowls and the remaining eight chips in the 4th bowl, or so on. b) Supposeall te...
three children in a class of 16 children are going to be awarded prizes for a writing contest. How many possible ways are there to pick the winners if each prize is different?
An election ballot asks voters to select four city commissioners from a group of fourteen candidates. In how many ways can this be done? Four city commissioners can be selected from a group of fourteen candidates in different ways.
A computer consulting firm presently has bids out on three projects. Let Ai = {awarded project i}, for i = 1, 2, 3, and suppose that P(A1) = 0.22, P(A2) = 0.26,P(A3) = 0.28, P(A1 ∩ A2) = 0.07, P(A1 ∩ A3) = 0.09, P(A2 ∩ A3) = 0.08, P(A1 ∩ A2 ∩ A3) = 0.01. Use the probabilities given above to compute the following probabilities, and explain in words the meaning of each one. (Round your answers to four...
Using the FACTORIAL RULE, respond to the following questions. Each of these distinct questions is asking you to count the total number or combinations using this rule. How many ways can 7 paintings be lined up [Choose ] on a wall? How many 5-number license plates can be Choose ] made using the digits 0, 2, 4, 6, 8 if repetitions are NOT allowed? How many 4-digit numbers can be formed ifChoose each one uses all the digits 0, 1,...