A space shuttle mission consists of a commander, a pilot, 3 engineers, a doctor, a scientist  and a civilian. If there are 7 people from whom the commander and the pilot must be chosen, 18 possible engineers, 4 doctors, 7 scientists and 3 civilian candidates for crew member, in how many ways can a crew be formed?

Q: To prepare for a safe grad, a committee of 6 people must be formed from a group of 5 teachers and 6…

A: To determine the number of ways the committee can be formed.

Q: A​ parent-teacher organization has six teachers and seven parents. How many four person committees…

A: The objective of this question is to find out the number of ways a four-person committee can be…

Q: A restaurant offers 7 choices of main course, 8 sides, 5 appetizers, 7 beverages, and 3 desserts.…

A: Main course  = 7 Sides = 8 Appetizers = 5 Beverages =7 Desserts = 3 We have to find the total number…

Q: A bag contains 2 red marbles, 5 green ones, 1 lavender one, 5 yellows, and 3 orange marbles.  How…

A: Since we are making set, so the order will not matter.   If we select the lavender one, then we can…

Q: A baseball team has 13 members: 10 male and 3 female. How many ways are there for choosing a roster…

A: Given that a baseball team has 13 members: 10 males and 3 females,

Q: From the 10 male and 9 female sales representatives for an insurance​ company, a team of 2 men and 3…

A: GivenNo.of males=10No.of females=9Total no.of peoples=19

Q: sume that each car con s more than just seven any options do you have

A:

Q: A group of 30 students plan to take classes. If 13 of them will take English, 17 will take Biology,…

A: A group of  students plan to take classes. If  of them will take English,  will take Biology,  will…

Q: In a class, there are 4 students majoring in computer science, 9 students majoring information…

A:

Q: The computer science department has 7 members; the mathematics department has 6 members. We need to…

A: We use combination for selection

Q: A committee is to be formed consisting of 4 men and 5 women. If the committee members are to be…

A: Answer  Given  A committee is to be formed consisting of 4 men and 5 women. If the committee members…

Q: A bag contains 4 red marbles, 3 green ones, 1 lavender one, 3 yellows, and 2 orange marbles. How…

A: Since it is set so order does not matter. we will use combination method At least three means 3 or 4…

Q: The qualified applicant pool for five management trainee positions consists of six women and five…

A: According to the provided information,  6 woman and 5 man  Total number of members = 11 5 management…

Q: ee has 9 members, consisting of 5 Republicans and 4 Democrats. An education group of 3 members is…

A: n= 9 R = 5 D = 4 Using the combination formula. Ways of selecting 3 members from 9 are:

Q: How many committees of six can be formed from 17 Republicans and 14 Democrats if three members of…

A: Given : 17 Republicans and 14 Democrats

Q: From the 9 male and 6 female sales representatives for an insurance​ company, a team of 4 men and 3…

A:

Q: A test consists of 12 questions that are divided into three questions. There are 5 questions in the…

A: Given: Questions in first section =3 Questions in second section =2 Question in third section =1

Q: The qualified applicant pool for three management trainee positions consists of seven men and six…

A: Given, The qualified applicant pool for 3 management Trainee positions consist of 7 men and 6…

Q: A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated in a…

A: A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated in a…

Q: A starting line up of a basketball team consists of five players: a point guard, a shooting guard, a…

A: If a basketball coach has 3 point guards, 2 shooting guards, 2 small forwards, 2 power forwards, and…

Q: A computer company has 5 vaccines in its executive trainee program. The company must select the…

A: Given - A computer company has 5 vaccines in its executive trainee program. The company must select…

Q: In a restaurant servers are constantly bringing out beverages to their tables. If a restaurant had a…

A: From the given information,there are three options for soft drinks Coke, Sprite, and Fanta4 people…

Q: A team of 5 people will be selected out of 9 boys and 14 girls. How many different teams can be…

A: Given that, Total number of girl = 14 Total number of boy = 9 We have to find number of different…

Q: How many different teams of 4 members can be selected from a pool of 20 applicants?

A: The combination formula is given by

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

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

Q: A local radio station took a poll of 90 of its listeners to find out whether they like to watch…

A: let M be the listeners who like mariners games SE be the listeners who like seahawks games, SO be…

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.