Question

In: Math

You are the CEO of PlatesRUs license plate manufacturing conglomerate. State regulators tell you that each...

You are the CEO of PlatesRUs license plate manufacturing conglomerate. State regulators tell you that each license plate must contain 2 letters (26 possible letters, A through Z) and 3 numbers (10 possible digits, 0 through 9).

a. State regulators also tell you that the numbers and letters cannot repeat (E.g., AB123 is valid, but AA123 is not). How many different plates are possible? (Note: on a license plate, order matters. AB123 is different from BA123.)

b. Regulators have stated new rules: plates still contain 2 letters and 3 numbers, but now the numbers and letters can be in any of the 5 positions. The numbers and letters still do not repeat on these new plates. (E.g., 1A23B is now valid, but 1A13B is not.) How many plates are possible now?

c. Assume now that plates are still designed as in part b, except that the no-letter-or-- number-repeat clause is not enforced any more. What is the probability that a given plate contains the numbers 777 in succession (i.e. right next to each other, with no letters in between)?

Solutions

Expert Solution

milcah answered 11 months ago
Next > < Previous

Related Solutions

Suppose each license plate in a certain state has one digit followed by four letters, followed...
Suppose each license plate in a certain state has one digit followed by four letters, followed by one digit. The letters f,o,s, and x and the digit 0 are not used. So there are 22 letters and 9 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?
A license plate in a certain state consists of 4 digits, not necessarily distinct, and 3...
A license plate in a certain state consists of 4 digits, not necessarily distinct, and 3 letters, also not necessarily distinct. (a) How many distinct license plates are possible if no restriction? (b) How many distinct license plates are possible if it must begin and terminate by a digit? (c) How many distinct license plates are possible if it must begin and terminate by a letter? (d) How many distinct license plates are possible if the three letters must appear...
In addition to its regular license plate, the state of Texas sells personalized “vanity” licenses for...
In addition to its regular license plate, the state of Texas sells personalized “vanity” licenses for additional fees. When the State increased the price for such plates $25 to $75, the number of people who ordered vanity plates dropped from 150,000 to 60,000 (a) Calculate the price elasticity for the vanity plate. Is it elastic? (b) Assume the main objective of Texan government is to maximize the revenue of the state, what is the optimum price to charge to the...
decide whether each object is a permutation or a combination 27 , an automobile license plate...
decide whether each object is a permutation or a combination 27 , an automobile license plate number . 28 , an internet password
If you are a medical professional with a license, investigate your state practice act. Do a...
If you are a medical professional with a license, investigate your state practice act. Do a web search to find information specific to your state regarding the scope of practice for your profession. Copy and paste the entire URL below. Provide 4 different scenarios. Provide two scenarios that demonstrate that you are working within your own scope of practice. Provide two scenarios that demonstrate clearly examples of not working within your own scope of practice. In each scenario, explain why...
State whether or not the situation in each case is a probabilistic situation, and tell why....
State whether or not the situation in each case is a probabilistic situation, and tell why. If it is not a probabilistic situation, reformulate the situation so that it is a probabilistic one. a. the probability that the U.S. secretary of state is a woman. b. the probability that a person will be able to read newspapers more intelligently after completing this course. c. the probability that the soon-to-be-born baby of a pregnant Mrs. Johnson with two sons will be...
State whether or not the situation in each case is a probabilistic situation, and tell why....
State whether or not the situation in each case is a probabilistic situation, and tell why. If it is not a probabilistic situation, reformulate the situation so that it is a probabilistic one. a. the probability that the U.S. secretary of state is a woman. b. the probability that a person will be able to read newspapers more intelligently after completing this course. c. the probability that the soon-to-be-born baby of a pregnant Mrs. Johnson with two sons will be...
2. You are the CEO of a US manufacturing company. You are being acquired by a...
2. You are the CEO of a US manufacturing company. You are being acquired by a large Japanese company who wants to incorporate your products as a component in their final products. They currently use the Kaizen Costing system and they have indicated that beginning next year, the US Company will use the same system. The CFO wants to understand better the differences and how it will change her responsibilities. How do you help her understand those differences? What plans...
In this assignment assume you are a CFO of a small manufacturing company and the CEO...
In this assignment assume you are a CFO of a small manufacturing company and the CEO wants your input the value of budgeting. Write a three page memo to the CEO explaining the purpose, basic components of the budget, and the benefits of a budget. As an appendix to your memo, discuss the capital budget process (purpose and value) and the various methods used to evaluate capital investment projects, including the pros and cons of each method. Include in your...
You are in charge of a IT for an large state-wide electric utility. The CEO has...
You are in charge of a IT for an large state-wide electric utility. The CEO has asked you specifically for guidance on what you consider the greatest "cyber terrorism" threats that the utility faces. Please provide the top 3-4 threats, and justification/assessment for each. You can be as specific or general as you want concerning the threats. Separately, the threats could be from state, non-state, specific technologies, security gaps, etc. I suggest you take time and utilize outside sources to...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT