Identify the following as Permutations, Combinations problems. (no need to solve) 1. In a race in which six automobiles are entered and there are not ties, in how many ways can the first four finishers come in? PERMUTATION 2. A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection? ______________________ 3. A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many ways can 6 people be selected?

Q: How many ways can you make a team of 4 from a roster of 8 players. discrete math

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Q: How many permutations of three items can be selected from a group of six? Use the letters A, B, C,…

A: There are total three item have to select from a group of six

Q: A 4/49 lottery involves choosing 4 of the numbers from 1 through 49 and a 3/32 lottery involves…

A:

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: 8. Solve. (a) In how many ways can a committee of 3 students be formed from 10 students if one…

A:

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: ✅✅❎♦️♦️♦️♦️

A: To find the number of ways to select a sample of 7 cellphones from a shipment of 23, you can use the…

Q: Answer each question. 1. How many ways are there to select 7 people from 14 people? 2. How many ways…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 7. Diane's Diner is running a special this month at the restaurant. You can order an appetizer, an…

A: Solution

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: For how many n = {1, 2, ..., 695} is n a multiple of one a multiple of one or more of 8, 3, or 7?

A: In the range of [1, 695] the number of numbers divisible by an integer k =  represents the floor…

Q: For how many n = {1, 2,…, 645} is n a multiple of one or more of 8, 7, or 3?

A: n belongs to (1,2,....645) is n a multiple of one or more of 8,7 or 3.

Q: A university class has 29 students: 11 are nursing majors, 9 are business majors, and 9 are…

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Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: Find the number of permutations. Twelve objects taken seven at a time There are permutations.

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Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 8…

A: Given data: The number of cars to pick is r=4. The number of subcompact cars is s=8. The number of…

Q: Customer account "numbers" for a certain company consists of 2 letters followed by 3 single-digit…

A: Given Customer account "numbers" for a certain company consists of 2 letters followed by 3…

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.