A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to choose from different ingredients.  What is the minimum number of ingredients that must be available if the restaurant wants to advertise that it offers over 4,000 different omelets?

Q: A pool is 50 meters long and 15 meters wide. if it is to be filled with water to a uniform depth of…

A: Volume of a pool

Q: I have 250 unique pairs of socks. If I want to have a pair of socks, what is the minimum number of…

A: Matching Pair: A matching pair is an experimental design where objects having the same…

Q: An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store…

A: Minimum number of tables to be sold is 5 or more.

Q: A high school student needs 9 more classes to graduate.  If she has met the prerequisites for all…

A: Given information Students need 9 more classes to graduate No of class periods to fill = 5

Q: What is the same space for a family with 3 children?

A: Given that  A family with 3 children  Children=(B,G) B=boy G=girl Find the sample space for family…

Q: A company has three supervisors and seven regular employees. Two supervisors are sworn enemies and…

A: This is the question from circular permutation. it is the total number of ways in which  n distinct…

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: If there are 20 students in a classroom, how many ways can the teacher choose 2 students to…

A:

Q: A teacher gives a multiple-choice quiz that has 3 questions, each with four possible answers: a, b,…

A: Given that a multiple-choice quiz that has 3 questions, each with four possible answers: a, b, c, d.…

Q: The delivery truck driver union is concerned that the workload is unequal. How many ways can 120…

A: Number of ways of distributing n identical things into r bins with no restrictions is given by…

Q: A box contains 5 yellow, 8 green, 11 blue, 11 purple and 15 white balls. What is the minimum number…

A: Number of yellow balls = 5 Number of green balls = 8 Number of blue balls = 11 Number of purple…

Q: In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.…

A: Given that she has 19 choices for her section of Statistics, 18 choices for her section of…

Q: A box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls. what is the minimum number of…

A: Given that a box contains 18 red, 7 green, 11 blue, 21 yellow and 5 white balls.

Q: 2) For a balanced incomplete block design, suppose you have 8 treatments and know that there can…

A: Given :-For a balanced incomplete block design, suppose you have 8 treatments and know that there…

Q: How many different routes can a saleswoman have if she must visit eight different companies in a…

A:

Q: Six grocers sell an identical brand of coffee bean cans, in which each can is advertised as weighing…

A: GivenTotal number of grocer stores = 6Weight of coffee bean can = 4 ounces.One among the grocer is…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: Predict the cost of cable service if the Smiths order six premium channels. Explain.

A: Consider the given table as follows.

Q: What is the minimum number of texts Ray must have before it makes sense to switch to the unlimited…

A:

Q: A dietitian in a hospital is to arrange a special diet using three foods,

A: A dietitian in a hospital is to arrange a special diet using three foods, L, M, and N. Each ounce of…

Q: A recipe for a pizza that serves 12 people calls for 2 cups of shredded cheese. If each bag pf…

A: Ans: Given , A recipe of pizza that serves 12 people calls for 2 cups of shredded cheese. If each…

Q: A drawer contains 17 black socks, 17 white socks, 17 blue socks, and 17 brown socks. If the light is…

A: Let’s say that he has picked four socks. If he have already found a pair after two or three or four…

Q: The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks,…

A: Given In a mathematics competition Total marks=60 Kate got  = 40 Priya got  = 46 Nora got marks = 49

Q: Six friends are taking a film history course and, because they have procrastinated, need to view…

A: Given information Six friends have a total of three DVD players in different dorm rooms and If each…

Q: In a city each person earns at most $5000 per month and every house is occupied by at most five…

A: HERE Given  Maximum earnings of of person = $5000 Maximum person in one one house= 5

Q: If the light is off 17 plack socks and 17 white socks if the light is off and Matt reaches into the…

A: If he pulls 2 socks, then he might get one black sock and one white sock. So, n≠2

Q: When I arrange the members of a marching band in rows of 2, 3, or 4, there is always 1 person left…

A: To solve the given problem

Q: A fedex driver has time to make deliveries at 6 locations among the 9 locations remaining. How many…

A: Solution: From the given information, 6 locations are to be chosen among 9 locations.

Q: Juan made 13 out of 20 free throws. If Bonita shoots 25 free throws, what is the minimum number he…

A: Note: Hi there! Thank you for posting the question. To avoid the plagiarism issue we have used the…

Q: snip

A: It is given that, in a food court there are four locations available for four vendors and food court…

Q: drawer contains 17 black socks, 17 white socks, and 17 blue socks. If the light is off and Carol…

A:

Q: A drawer contains 22 black 22 white socks and 22 blue socks. If the light is off and Matt reaches…

A: Given information 22 Black socks 22 White socks 22 blue socks 3 types of socks are there He will…

Q: In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.…

A: Given ,  In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and…

Q: 5Find the number of ways to distribute 24 identical pencils to 12 people, some people may not get…

A: Solution of the problem as follows

Q: The intention is to form a committee consisting of 5 persons from BIM, a group of engineers and…

A: There are 10 engineers and 4 technicians. Thus, total number of individuals in the population is, n…

Q: To fulfill certain requirements for a degree, a student must take one course each from the following…

A: There are total 300 options for a student.

Q: determine x, the minimum number of sets of knives Brianna should buy?

A:

Q: A fashion designer needs to design a new shirt. She has 7 different types of materials, 14 different…

A: Given that there are 7 different types of materials, 14 different colors for each material, and 9…

Q: In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.…

A: Given that she has 13 choices for her section of Statistics, 15 choices for her section of…

Q: If a person is making the minimum salary for a construction worker, they are making more than what…

A:

Q: During the Restricted Movement Order (RMO), the maximum number of people can ride on a 7-seater car…

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

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

A:

Q: In a group of 10 workers, the wage of the lowest paid worker is Dollar 25 less than the average wage…

A: From the given information, There is a group of 10 workers. That is, n=10 The wage of the lowest…

Q: A surgical procedure requires four steps. The first can result in three possible outcomes, the…

A: In this question, concept of decision algorithm is applied. Decision Algorithm A decision algorithm…

Q: In her last semester at SPC, Polly Hedron needs to take Statistics, Composition 2, and Ethics.…

A: Here we can use permutation to solve this question.

Q: You are going to create a portfolio consisting of 2 stocks. There are 6 available stocks to choose…

A:

Q: A punch-out card contains 100 spaces. One space pays $300, five spaces pay $20, and the others pay…

A: Probability tells about the possibility of happing something. Probability is computed by dividing…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: In her last semester at SPC, Polly Hedron needs to take Statistics and Composition 2.  Because Polly…

A:

Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. what is the…

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.