On Thanksgiving , there is a selection of turkey , stuffingmashed potatoes green beans, comand saladOnly 3 foods will fit on the plate at a time How many different ways could you do this ?

Q: On a varsity baseball team of the players are 1 seniors, of the players are juniors, and the re- 4.…

A: Let , total players be x.

Q: A baseball collector has 29 game balls from her times attending various baseball games. She wants to…

A: Given that, A baseball collector has 29 game balls from her times attending various baseball games.

Q: Your field experience instructor wants to line up 8 cars for transportation to a grade school.…

A: Calculate total number of groups of 8 cars in the following way:-

Q: A pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base. How many…

A: Given that Pizza parlor offers mushrooms, onions, and sausage as toppings for the plain cheese base.

Q: 4. Credit cards and debit cards often require a PIN number consisting of 4 digits. Wanda wants to…

A:

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: The Athens House of Pizza also features the Grecian Feast pizza. For the Grecian Feast pizza, the…

A: In this question, we find the number of different Grecian Feast pizzas. Given that  The total number…

Q: A car dealership offers 10 different upgrades with each of the vehicles it sells. If a customer can…

A: Given data; A car dealership offers 10 different upgrades with each of the vehicles it sells.  To…

Q: A group of 5 students is to be chosen from a 30 student classroom. How many ways can this be done?

A: Note that here we have to select a group of 5 students from a 30 student classroom.

Q: A Zoom class has 48 students, and for an in-class activity they will be going into breakout rooms in…

A: a) The number of different breakout room assignments if the breakout room numbers matters is,…

Q: There are 8 nickels, 5 dimes, 7 quarters, and 6 loonies in a piggy bank. You are thinking of…

A: Given, in a piggy bank, there are  8 nickels, 5 dimes, 7 quarters, and 6 loonies.

Q: there are 6 men and 7 women in the math club. a committee is to be formed consisting of 3 men and 4…

A:

Q: There are 2 copies each of 4 different books. In how many ways can they be arranged on a shelf?

A:

Q: A tourist in France wants to visit 6 different cities. How many different routes are possible?

A: In order to view the different routes that could be taken,we can view the problem as the number of…

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: There are 294 students in the senior class. Four of the students will be chosen to be the President,…

A: Since there are separate posts, so in this problem arrangement will matter. So we will have to use…

Q: A hamburger shop sells hamburgers with cheese, relish, lettuce, tomato, onion, mustard, or ketchup.…

A: Given data we have Cheese, relish, lettuce, tomato, onion, mustard, or ketchup hamburgers Total…

Q: A young boy asks his mother to get 5 Game-BoyTM cartridges from h Of 10 arcade and 5 sports games.…

A: Given data, No of arcades=10 No of sport games=5 No of arcades to select is =3 No of sport games to…

Q: You have 8 DVDs to place on a shelf, but you only have room for 6 of them. How many different ways…

A: Given,no.of DVDs=8no.of rooms=6

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

A:

Q: how many ways can you arrange 23 books on a shelf that can only hold 7 books?

A:

Q: From a cooler with 5 different kinds of​ soda, 3 are selected for 3 people. In how many ways can…

A: According to the provided data, there are five different kinds of soda in a cooler out of which 3…

Q: Of 20 possible​ books, you plan to take 3 with you on vacation. How many different collections of…

A:

Q: A department consists of 5 men and 7 women. From this department you select a committee with 3 men…

A: From the provided information, A department consists of 5 men and 7 women. We select a committee…

Q: Six math books, four physics books and three chemistry books are arranged on a shelf. How many…

A:

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 6 different…

A:

Q: There are 7 Math books, 4 English books and 6 Filipino books on a shelf. How many ways can you…

A: Permutation: Permutation means finding a number of ways to arrange a specified number of distinct…

Q: You and 10 friends all have tickets for seats in the same row at a concert. How many different ways…

A: Please see the explanation below

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: Find the number of different ways that a family of 6 can be seated around a circular table with 6…

A:

Q: Radio stations that are on the west side of a nation have call letters consisting of a K followed by…

A: The first letter is fixed with Z and is then followed by 4 letter( repetition allowed) Then,

Q: A family with 9 members sit in a round table for dinner. How many ways can the member of the family…

A:

Q: Ten diplomats, each from a different country, are lined up in two rows of five for a photo. How many…

A: Ten diplomats, each from a different country, are lined up in two rows of five for a photo.   If the…

Q: Customer account "numbers" for a certain company consist of 4 letters followed by 4 numbers. How…

A: There are 26 alphabet and the Digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The number of different…

Q: A student must take 4 courses. In how many ways can they do that if there are 8 courses and 1 is…

A: Solution

Q: How many different standard plates are possible in this system?

A:

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

A:

Q: 6 couples are in a round table but men and women must sit alternately. In how many ways can this be…

A: The number of ways in which n distinct objects can be arranged around a circular table, can be given…

Q: A class of 20 students is seated in a classroom with 5 rows of 4 seats each. How many ways are there…

A: Number of ways in which n students can be divided into k groups of h students is given by,

Q: A food committee prepared 3 kinds of sandwiches, 5 drinks, 4 fruits and three candies. How many…

A: Given: A food committee prepared 3 kinds of sandwiches, 5 drinks, 4 fruits and three candies.   To…

Q: In the Electronic shop Illektrooneeq, TV set can be purchased in any of 4 different sizes, in any of…

A: Given Information: In the Electronic shop, TV set can be purchased in any of 4 different sizes, in…

Q: There are 4 seats in a cinema hall. In how many ways can 4 people sit in a cinema if only 2 of them…

A: 6 ways

Q: A fishing camp has 15 clients. Each cabin at the camp will accommodate 6 fishermen. In how many…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set of…

Q: The manufacturer plans to make scarves with 8 colored stripes. There are 16 colors to choose from…

A:

Q: A teenager is given 5 different jobs that they must do before they may go out to a movie with…

A:

Q: I have nine books and have room to display only four of them at a time on my bookself. how many…

A:

Q: A grocery store sells 10 different types of sodas sold in six-packs with at least 200 of each type…

A: We know that if we have to choose r items out of n items with repetition allowed, number of such…

Q: In a certain pizzeria there are 5 toppings. How many combinations can you make with these 5…

A: We have to find number of combinations possible.

Q: 2. In a certain country, license plate numbers have 3 letters followed by 3 digits. How many…

A: here use counting principle  for combination  nr = n!(n- r)! 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.