11. A pizza parlor has three types of crust, 8 different toppings, and two different cheese blends to choose from. In how many ways could you order a three-topping pizza (one type of crust, three different toppings, and one cheese blend)?

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?…

A:

Q: 6. A University building has 9 doors. In how many ways can a student enter and leave by different…

A: Total no of doors in university = 9 We have to find the no. If ways a student can enter and leave by…

Q: An ice cream store sells two drinks (sodas or milk shakes), in four sizes (small, medium, large, or…

A: There are 2 ways to pick the drink. sodas or milkshakes There are 4 ways to choose the size. small,…

Q: 38. How many different committees can be formed from 5 professors and 15 students if each committee…

A:

Q: 3. In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants for Civil Engineers is, n(C1)=7. Number of required for Civil Engineers…

Q: 3. Ten national leaders are to be seated at a round table at a summit. If the presidents of the US…

A:

Q: 1. If there are five types of batteries which are AAA, AA, C, D, and 9-volt and you want to put…

A:

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: 1/5 of a class study english and 3/5 study math. If the class consists of 80 students, how many…

A: In this question we need to find out how many students study English and math in the class. total…

Q: A bakery has 7 different kinds of donuts (chocolate, boston cream, sprinkle, old fashion, honey…

A: Given Information: Number of donuts to be purchased by Cindy = 30 Different kinds of donuts = 7

Q: 4. If your bag has 60 Smarties, and 30% of the Smarties are purple, how many purple Smarties do you…

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 10. A tourist group visiting Las Vegas for 5 days would like to stay in 5 different hotels. If the…

A: There are 10 hotels and the people are staying for 5 days so the choice needs to be made of 5 hotels…

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

A:

Q: 12) From a committee of 1O, how many ways can we select a President, Vice President, and Secretary?…

A: From a committee of 10, how many ways can we select a president, vice president andand secretary.

Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: (a) In how many ways can one component of each type be selected? (b) In how many ways can components…

A:

Q: From 5 statisticians and 6 economists, a committee of size 6 is to be formed. How many different…

A: Given : No. of statisticians = 5 No. of economist = 6 Total no. of persons = 5+6=11 Sample size (n)…

Q: 2. Marie, Ten-ten, My-my, Shayne, and Gelli plan to form a musical band. In how many ways can they…

A: We have to find how many ways can they be seated in a round table if Ten-ten and My-My will not sit…

Q: A clothing store has 13 shirts in 4 sizes: small, medium, large, and extra-large for sale. If it has…

A: Number of ways of selling two small shirts is 2! = 2 Number of ways of selling three medium shirts…

Q: 11. In how many ways can 4 boys and 5 girls sit in a row if the boys and girls must alternate?

A: Disclaimer: Since you have asked multiple questions, we will solve the first question (i.e. #11) for…

Q: 4. A club has 25 members. In how many ways can the President, Vice- President, Secretary, and…

A: As you have asked many questions. As per the answering guidelines we will solve first question only.…

Q: ara's softball team can be divided into four groups:  1/2 of the players are strong hitters, 1/4 are…

A:

Q: 6. How many outfit combinations can be put together from 6 shirts, 3 pairs of pants, and 4 pairs of…

A: Total shirt = 6 Total pants = 3  Total shoes =4

Q: While dividing 10 students into two groups of five. How many different groupings can we make so that…

A: If John and Alice to be in two different groups: First we will assign John and Alice to two…

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

A:

Q: 1. A team of 17 softball players needs to choose three players to refill the water cooler

A:

Q: 1. How many different committees of 3 chemists and 2 physicist can be formed from the 8 chemists and…

A:

Q: 5. Of a company's personnel, 7 works in design, 14 in manufacturing, 4 in testing, 5 in sales, 2 in…

A: (a) Obtain the number of different committees that can be formed as follows.

Q: 3) A board of directors composed of eight people must select board officers. In how many ways can a…

A: Given that n =8,r =3 using permutations

Q: 2.27 A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Generalized multiplication rule: The number of ways of performing sequence of k operations is…

Q: 4. A computer center acquires eight different models of laptops of the same color and shape. If they…

A: We have in all 8 laptops in a drawer and choose 5 from them.

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: 4. In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play…

A: The number of men who can play any of the positions is, n = 8 The number of starting positions on a…

Q: (1) How many ways are there to pick a 5–person basketball team from 14 possble players? (ii) How…

A: In this question, we have to use the method of permutation and combination to answer the following…

Q: 8. In how many ways can 4 girls and 5 boys sit in a row if the boys and girls must alternate?

A: (8) Number of girls = 4 Number of boys = 5 The arrangement of boys and girls must sit alternate in a…

Q: 2. In how many ways can 3 men and 4 women be seated on a bench if the women must be seated together?

A: Note: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: In how many ways can five people be divided into two groups of one person and one group of three…

A: Solution: Given data : Total people= 5 people in groups Two groups  of one people One group of three…

Q: 26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to…

A:

Q: 1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

A:

Q: 1. A college freshman must take a science course, a humanities course, and a mathematics course. If…

A:

Q: 11. How many 12-person juries can be made from a jury pool of 20 people?

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

Q: (3) In how many ways can 5 boys and 2 girls sit in a row if just the girls are to sit together?

A: Permutation is a method in mathematics that is used to find the number of ways in which certain…

Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow…

A: Given that there are 4 red marbles, 2 green,1 transparent, 3 yellow, and 2 orange marbles. So there…

Q: How many ways are there to distribute 18 chocolate doughnuts, 12 cinnamon doughnuts, and 14 powdered…

A: Let a,b,c,d denote the four principals. Since each principal gets at least two doughnuts of each…

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high…

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: 2.A developer of a new subdivision offers a prospective home buyer a choice of 4 designs, 3…

A: Permutation is a branch of mathematics which deals with the number of ways in which certain objects…

Q: 3. A blood bank needs twenty people to help with a blood drive. Twenty-five people have volunteered.…

A: Topic- Permutation and Combination