32. License Plates A state has registered 8 million automobiles. To simplify the license plate system, a state employee sug- gests that each plate display only two letters followed by three digits. Will this system create enough different license plates for all the vehicles that are registered?

Q: 2-) club officers: If a club consists of 10 members, how many different arrangements of president,…

A: Given that ; Total A club has 10 members i.e. (n) = 10  Total posts are (r) = 3  By usin…

Q: (a) In a certain state, license plates have two letters followed by four digits. How many such…

A: a) There are 26 letters (A-Z) and 10 digits (0-9) Numbers and letters can repeat. We can pick 2…

Q: a) You are thinking of buying a car which has 6 different engine types, 8 different interior types,…

A: Given information 6 different engine  8 different interior type 13 different colour schemes a) No of…

Q: (a) In a certain state, license plates have two letters followed by three digits. How many such…

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Q: 14) A license plate is to consist of 3 letters followed by 5 digits. Determine the number of…

A: The number of possible ways in which any combination of 5 digits out of a total 10 (0 to 9) can be…

Q: 52. a. There are 100 members of the U.S. Senate. Suppose that 4 senators currently serve on a…

A: a. There are 100 members of U.S. Senate. Suppose that 4 Senators currently serve on a committee.…

Q: 3.65 We have seven girls and seven boys. In how many ways can we form: (a) seven girl-boy pairs to…

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Q: 38. There are 10 math teachers in the math department. How many ways can one or more of them be…

A: Given: There are 10 math teachers. To find the number of possible ways can one or more of them be…

Q: In how many ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table? 24 12 20

A: We have to tell number of ways can Joe, Mary, Steve, Tina and Brenda be seated around a round table…

Q: (g) A company has two employees with 12 offices. How many ways are there to assign different offices…

A:

Q: (ii) exactly ten buses arrive from 5.00 pm to 6.30 pm, and three buses arrive from 6.30 pm to 7 pm?

A: please do (ii) only .   In one hour time, average number of buses leaving station A = 12  then , In…

Q: 7. A family with 8 members sit in a round table for dinner. How many ways can the member of the…

A:

Q: 11. How many license plates can be created if you can have 5 letters followed by 2 digits: a) if the…

A: To find the number of license plates can be created if there are 5 letters followed by 2 digits.

Q: NVC. Fifty eight of them will be taking up a math class, 60 students will be taking up an English…

A: Due to the rule I can solve only first three Sub questions if you wanted another answer kindly…

Q: Transportation In a train yard, there are 12 flatcars, 10 tanker ears, 15 boxcars, and 5 livestock…

A: Given : In a Train yard Flatcars=12 Tanker cars = 10 Boxcars =15 Livestock cars =5

Q: 81. Hockey Lineup A hockey team has 20 players, of whom 12 play forward, six play defense, and two…

A: A hockey team has 20 players, of whom 12 play forward, six play defense and two are goalies. In how…

Q: 5. License plates consists of three letters fllowed by three numbers. How many different license…

A: Licensed plate consists of 3 letters, followed by 3 numbers. No repetition,  a) The three digit…

Q: 34. A college offers tutoring in Math, English, and Chemistry. The number of students enrolled in…

A:

Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: In how many ways can you seat two children and three adults in a row of five seats if the children…

A: Number of ways of arranging two children       =2! Number of ways of arranging three adults…

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: We have to find how many vehicle of each type should the officers rent in order to minimize the…

Q: 5. An electronic company employed 6 sales representatives and 9 product designers this year in a…

A: We have to find given all no of ways...

Q: 3. You are setting out 30 cans of drinks for a party. There are six types of drinks, and one type is…

A:

Q: 5. You are making sandwiches for a large crowd. All must be identical and must contai slices of…

A: This is a question of optimization.

Q: Ten students in a Mathematics contest are competing for first, second and third prize. How many ways…

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Q: 5. A freight train is going to carry four tankers, six coal cars, and ten lumber cars. How many…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: A restaurant lets you customize your deli sandwich. There are 66 choices for bread, 8 choices for a…

A: If one, bread, one protein, and one cheese are selected then there is only one combination of the…

Q: 7. A school committee needs 2 more students. How many ways can the committee be selected from a…

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Q: 1. State A with a population of 256,000 and 10 representatives or state B with a population of…

A: Given that - State A with a population of 256,000 and 10 representatives or state B with a…

Q: 01. The tram that runs around Los Angeles has a clientele of regulars all headed to the Town Hall.…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: 9. A class has 10 girls and 12 boys. The teacher wants to make a committee of 4 consisting of 2 boys…

A: We know nCr= n!/[r!(n-r)!]

Q: 7. A person buying a personal computer system is offered a choice of three models of the basic unit,…

A:

Q: 15. A restaurant that specializes in ice cream has nine different toppings available to add to the…

A: Given: A restaurant that specializes in ice cream has nine different toppings available to add to…

Q: 120 High school students have to do 3 final exams to be able to enter to the university. There are…

A:

Q: A classroom has 10 students a) How many ways can they line up to form a row? b) In how many ways can…

A: by bartleby policy i can give only 3 subparts answer, A classroom has 10 students

Q: 6. 4 married couples bought 8 seats in the same row for a concert. How many different ways can they…

A: 4 married couples bought 8 seats in the same row for a concert ( a) without restriction ? (b ) If…

Q: (a) In a certain​ state, license plates have two letters followed by three digits. How many such…

A:

Q: 6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different…

A: Given: Number of ice cream flavors=3Number of syrups=3Number of nuts=2 One has to select 3 ice cream…

Q: 2.) The BOS-14 is the new model of cars manufactured by NUC Motors. This model can be achieved in 2…

A: Given that the BOS-14 model of cars can be achieved in 2 body styles, 4 interior options and 7…

Q: 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: 5. a) How many different car license plates can be made using-three letters followed by four digits…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: 14. An architect designs a theater with 15 seats in the first row, 18 in the second, 21 in the…

A:

Q: 2/9 of the students in a school are in the sixth grade. How many sixth graders are there if the…

A: Given,29of the students in a school are in the    sixth grade    Total number of students =27

Q: 7. Six friends Evan, Elijah, Miguel, Leo, Francis and Caev want to sit in a row at the cinema. If…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: 2. A lunch menu consists of 6 different kinds of sandwiches, 3 different kinds of soup and 4…

A:

Q: d) The English alphabet contains 5 vowels and 21 consonants. Find the number of 5-letter words (with…

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Q: How many ways are there to stack an ice-cream cone with 4 scoops if the choices are a. chocolate…

A: It is given that there 4 choices of scoops to stack an ice-cream and the flavours are chocolate…

Q: 02)• 20 students and the dean came to the cinema and want to sit in the same row, in which there are…

A: Given that, 20 students and the dean came to the cinema and want to sit in the same row, in which…

Q: 15. A tennis club has 15 members: eight women and seven men. How many different teams may be formed…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 6. A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents.…

A: