1. A license plate begins with three letters and three numbers. If the possible letters are all vowels only, and the number choices for each digit will only be odd numbers, how many different license plates can be made if no letter and number is used more than once?

Q: A math teacher wishes to split a class of thirty students into groups. All groups will work on the…

A: Given data: Total students  = 30 To find: In how many ways can the teacher assign students to the…

Q: If a "word" is any arrangement of 3 different letters, how many 3-letter "words" can be formed from…

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Q: Suppose Pat has eight shirts and four pairs of pants. How many different outfits  can Pat make by…

A: The person has 8 shirts and 4 pairs of pants and he can make one outfit by combining one shirt with…

Q: A salesman lists 12 customers to visit each day. In how many different ways can he visit the…

A: Given, a salesman lists 12 customers to visit each day. The required different ways in which he can…

Q: You can answer any 19 questions from the 21 questions on an exam. In how many different ways can you…

A: Here it is given that the order is of no importance, we will use the combination rule here where we…

Q: A professor provides to a class 24 possible essay questions for an upcoming test. Of the 24…

A:

Q: 1. There are six runners in the 100-yard dash. How many ways are there for three medals gold, silver…

A:

Q: Imagine a game show on television where one lucky contestant is presented with three upside-down…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Que. How many 5-man squads could be chosen from a company of 20 men?

A: No. of ways of choosing 5 - man squads out of 20 men = C520…

Q: access code for the entrance of a faculty office consists of five digits. Each digit can be 0…

A:

Q: 1. Suppose Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. How many different outfits can…

A: Given: Ivana has 4 shirts, 3 pairs of pants and 3 pairs of shoes. The total different outfits Ivana…

Q: Of the 73 students in a mathematics​ class, 31 are taking​ French, 30 are taking​ German, and 9 are…

A:

Q: Lenny has 5 friends in his neighborhood. In how many ways can he choose 3 to help him move…

A: Lennh has friends = 5 Number of friend to be chosen = 3

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: here are five bus lines from city A to city B and four bus lines from city B to city C. Find the…

A: Given that  Number of Bus lines from city A to City B = 5 Number of Bus lines from city B to city C…

Q: How many license plates can be made using either two or three letters followed by either two or…

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Q: A large research project is looking for more researchers. There are 8 spots open on the research…

A:

Q: A jar of jellybeans has three different colors of jellybeans:  green,  red, and yellow. Let’s use…

A: Given A jar of Jellybeans g Green r Red y Yellow Choosing 4 Jellybeans from the Jar The…

Q: Of the 58 students in a mathematics​ class, 22 are taking​ French, 24 are taking​ German, and 7 are…

A: A Venn diagram is a pictorial representation of sets using circles or other closed figures inside a…

Q: Eighteen persons have first names Ali, Bahar, and Carlie and last names Daud and Elyas. Show that at…

A: According to pigeonhole principle it is known that, if there are n pigeons into k pigeon holes,…

Q: A government office has four regional offices and 32 local offices. In how many different

A: Given that A government office has 4 regional office and 32 local office

Q: If there were to be 15 boys and 13 girls at a party and the host wanted each to be given exactly…

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Q: If there were to be 22 boys and 8 girls at a party and the host wanted each to be given exactly the…

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Q: If there are 9 apples and my sister ate 3, how many apples are left?

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Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

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.