1. Your brother is ordering 5 pizzas for the family. There are 18 different kinds of pizza. How many different ways could he order 5 different kinds of pizzas?

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? Your answer is :

A: Consider the formula for the n objects taken r at a time is, Cn,r=n!r!n-r! Then, the number of ways…

Q: During a birthday party, how many ways can five guests, both parents, and the birthday celebrant be…

A: Follow the steps.

Q: A restaurant offers 20 appetizers and 40 main courses. In how many ways can a person order a…

A: Multiplication rule of counting:If a task consists of a sequence of choices in which there are ‘a’…

Q: how many ways can the 30 members of a company club select a president, a vice president, and a…

A: From the given information we find the solution.

Q: Mr. Rettie orders a pizza with 5 toppings,chosen from 15 available toppings. In how many ways could…

A:

Q: How many ways can 5 bicycles be parked if there are 9 available parking spaces?

A: Number of ways in which 5 bicycles can be parked if there are 9 available parking spaces.

Q: In how many ways can 3 boys and 3 girls sit in a circular table if the boys and girls must…

A: In how many ways can 3 boys and 3 girls in a circular table if the boys and girls must alternate ?

Q: In how many different ways can 5 bicycles be parked if there are 7 available parking spaces?

A: There are 7 available parking spaces and 5 bicycles.

Q: In how many different ways can a 4-child family have 2 boys and 2 girls?

A: To determine: Ways can a 4-child family have 2 boys and 2 girls.

Q: How many ways can 7 students standing in a line be arranged John must be first in line and Chloe be…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: How many ways can 12 students standing in a line be arranged if John must be first in line?

A:

Q: How many ways are there to distribute 9 cookies to 4 children.

A: Solution:

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if…

A:

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: in how many ways can four students be seated in a row of four seats?

A:

Q: In how many ways can you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: 3. At Wingstop, customers ordering a family meal can choose 4 different wing flavors. If Wingstop…

A: Answer - At Wingstop,  customers ordering a family meal can choose 4 different wing flavors.…

Q: In how many ways can you choose 3 gifts from a bag containing 4 different gifts?

A: It ia given that Total gifts n  = 4 Selected gifts r = 3

Q: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: Suppose we want to choose 5 letters, without replacement, from 18 distinct letters. (a) How many…

A: (a)   Determine the number of ways that the 5 letters can be selected from 18 distinct letters…

Q: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

Q: In how many different way can a person choose 2 desserts from a menu of 12

A:

Q: b. The FIFA World Cup 2018 in Russia consists of 32 teams. How many ways for the top 3 teams exist?

A:

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: 1) If 11 people are to be seated in a row of 11 chairs, how many different seating arrangements are…

A: The formula for n! is n(n – 1)(n – 2)…..3.2.1, where n is positive integer.

Q: In how many ways can 11 people be seated in a row of 11 chairs if Janet insists on sitting in the…

A:

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: 2. How many ways are there to order the letters L,A,K.E,S?

A: Given, The letters L,A,K,E,S  We have to find how many ways are there to order the letters.

Q: An ice cream store sells two drinks in four sizes and has five flavor add ons. In how many ways can…

A: From the provided information, The ice cream store sells two drinks in four size and has five flavor…

Q: In how many ways can 10 people be seated in a row of 10 chairs if Janet insists on sitting in the…

A: The main objective is to find the permutations for the given problems.

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

A:

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: In how many ways can you arrange 4 people to be seated in a round table?

A:

Q: 4. How many ways can 10 different action figures or toy soldiers be arranged on a shelf?

A:

Q: You are teaching a math class, and have seventeen students who are so hard-working and invested, you…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: In how many ways can 7 women and 7 men partner up for ballroom dancing, if each person has to dance…

A: The number of ways to select r objects from n objects is computed by using the formula of…

Q: 5a. In a club consisting of 15 members, how many different ways can a 4-person committee where…

A: Determine the number of ways that a 4-person committee where everyone is considered equal. The…

Q: 6. How many ways can my daughter put 50 pairs of shoes on 4 dolls ?

A: It is given that, We have 50 pairs of shoes and there are 4 dolls. We know that if n object can be…

Q: In how many ways 7 boys and 6 girls can be arranged on a bench if Anne and Jim sit together?

A:

Q: 11. How many different ways can the word "salespersons" be ordered?

A: Total number of letters is 12. The letter S repeats 4 times. The letter E repeats 2 times.

Q: In how many ways can a couple invite 3 out of their 15 closest friends to a dinner party?

A:

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the…

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C(…

Q: Someone wants to know how many different outfits they can make with 3 coats, 5 pants, 7 shirts, and…

A:

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

Q: How many ways can 10 people line up if Joey and Sally cannot be next to each other? If the same…

A: here we have to use permutation ( arrangement )  Number of way r object can be arranged by taking…

Q: In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20…

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.