License plates The RBC Heritage Classic Foundationlicense plate is available to anyone with a vehicle regis- tered in the state of South Carolina. It costs $75 every two years with $66–$71 going to the foundation for its Scholar and Birdies for Charity Programs. The plate has the Heritage Classic symbol and four spaces for nonzero digits and/or letters. How many possible plates can be produced using from 1 to 4 digits or letters if they can be repeated

Q: A student number system for a county requires that the student number be 6 characters, 4 numbers…

A: We have to find no. Of password possible.

Q: A Civil Air Patrol unit of ten members includes five officers. In how many ways can five members be…

A: Determine the number of ways that five members can be selected for a search and rescue mission such…

Q: Soccer Shootout In soccer, a tie at the end of regulation time leads to a shootout by three members…

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Q: Romano's Restaurant has the menu shown in the figure below. In how many ways can a meal consisting…

A: Given Information: The menu shows that there are 6 toppings for the pizza, 6 beverages, and 5…

Q: The elevator in a skyscraper travels from floor 19 to the underground carpark on level -4. How many…

A:

Q: Tags in Delaware consist of 2 letters followed by 3 numbers it the letters can be repeated but the…

A: We can pick a letter in 26 ways.  So two letters can be picked in 26*26= 676 ways

Q: A boy owns 3 pairs of pants, 2 shirts, 6 ties, and 2 jackets. How many different outfits can he wear…

A: Solve how many ways

Q: The memory card in Carla's camera can hold 1,024 pictures. On April 30th, Carla sees that she has…

A:

Q: The Butler family is selecting a furniture set. A furniture set has a bed, a desk and a dresser.…

A: Given data: A furniture set has a bed, a desk and a dresser.  3=  beds, 1 = desk,  3  = dressers To…

Q: Harley collects sports cards. He has 900 football cards and 96 baseball cards. Harley plans to…

A: Largest number of cards that can be placed in each stack = hcf (900 , 96 )   900 = 2× 2 × 3×3×5×5 96…

Q: Your restaurant is hosting a New Year's Eve party for 500 people.  Each person is to receive one,…

A: The unitary method is used widely in arithmetic. It is the method that involves two steps. First, we…

Q: 4 people rent a house that has 4 bedrooms. How many ways are there to assign the bedrooms to the…

A: 4 people 4 bedroom

Q: how many passwords are there if you do not allow repeating digits? b.) How many passwords are there…

A: Since , the passwords are made by using 4 digits from 1-9. Total numbers=9 Password length=4 Our aim…

Q: 9.) A driver left a warehouse in the morning with 500 new telephone books loaded on his truck. His…

A:

Q: A farmer raises 65 animals on her farm. Some are pigs and some are chickens. If they have 180 legs…

A:

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A: The president, secretary and treasurer of the math society are to be chosen from 5 boys and 3 girls.…

Q: a candle company sells individual candles, boxes with 8 candles, or containers with 15 boxes. At the…

A: Given:The number of candles in a box is 8.The number of box in a container is 15.At the beginning,…

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

A: Given that there are 4 models of the basic unit, 3 models of a keyboard, and 4 models of printer.…

Q: ID CARDS- How many different ID cards can be made if there are 6 digits on a card and no digit can…

A: The permutation of n objects taken r at a time is defined as follows:

Q: A museum opens with a collection of 250 items. During the first week after the opening, an…

A:

Q: To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of…

A: Number of ways to choose a size = 3 Number of ways to choose a type of espresso = 10 Number of ways…

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A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: 5. An art gallery is mailing brochures to 1960 people to promote the gallery's annual exhibition.…

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Q: FedEx Deliveries With a short time remaining in the day, a FedEx driver has time to make deliveries…

A: Here, it is sufficient to use the combination rule. Combination Rule:There are n different items and…

Q: Combinations The president, secretary and treasurer of the math society are to be chosen from 5…

A:

Q: 4 Last week, Shelly rode her bike a total of 30 miles over a three-day period. 4. the distance she…

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Q: The owner of a new store is printing 7,520 coupons. The coupons will be sent to 32 locations. Each…

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Q: After a late night of studying, you and your friends decide to go to your favorite tax-free fast…

A:

Q: Count the number of ways 6 bottles and 5 cups can be lined up in a row if a bottle (a cup) should…

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Q: combination lock requires three selections of numbers, each from 1 through 30. a. How many…

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Q: A man tosses ten coins among ten children. The coins are two 5-centavos, three 25-centavos four…

A:

Q: Customer account numbers for certain company company consists of 4 letters followed by 3 digits…

A: We can solve it using the concept of probability as below

Q: Espa A certain train has 7 cars that are being lined up on a track. One of the cars is the engine,…

A: given data,7 cars on a truck1 of cars in enginelast car is   caboose

Q: Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game…

A:

Q: You have a small wardrobe since you moved to Sac State. You only brought with you 10 shirts, 4 pairs…

A: Given : 10 shirts 4 pairs of pants 3 pairs of shoes An outfit contains 1 shirt, a pair of pant and 1…

Q: The Drury Lane Theater has 10 seats in the first row and 30 rows in all. Each successive row…

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Q: A T-shirt factory made 96,570 blue T-shirts. The factory put all the T-shirts into packages without…

A: Solution is given below:

Q: Charmaign’s daughter has $12.00 she wants to spend on comic books and superhero cards. Comic books…

A: Given that the total amount to be spent is $12, cost of each comic book is 6 cents is $0.06 and cost…

Q: ability = vo out of the next eight cars needs oil. ability = out of the next 40 cars needs oil.…

A: Given Probability that a car need to have oil added =1/7

Q: Target sells sets of pots ($25) and dishes ($15) at a local store. On the July 4 weekend, people…

A: We should devise algebraic equations and then solve the algebraic and then we can easily obtain the…

Q: At an awards ceremony, six women and five men are each to receive an award and are to be presented…

A: To calculate the possible arrangements of the awards according to the given contions

Q: A female executive selecting her wardrobe purchased three blazers, three blouses, and two skirts in…

A: We will solve the following.

Q: The Drury Lane Theater has 25 seats in the first row and 30 rows in all. Each successive row…

A:

Q: A Horse Race has 12 horses.   How many different ways can the horses finish the race such that…

A: Solution:   Find the number of different ways in which the horses finish the race such that Grand…

Q: Harley collects sports cards. He has 540 football cards and 486 baseball cards. Harley plans to…

A:

Q: Ryan goes to soccer practice everyday. When he walks to the field, he is late 15% of the time. When…

A: From the given para choose the independent events

Q: Jessie is creating a 10-character password that consists of numbers and letters (Each digit will be…

A: Since there are 26 letters in English and 10 digits given in the question

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A:

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.