A company has 13 employees, and wants to create a team of 7 employees to work on a new project. Th order of selection of the employees does not matter. How many different teams could be formed? You should show your work for this problem. > Next Question

Q: The number of students in classes P, Q, R and S is 6:5:3:2 respectively. The total marks scored by…

A: Introduction :

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: Among 10 students , 4 of them will be selected for a project .in how many ways can they be selectes

A: In question, We have given that among 10 students , 4 of them will be selected for a project. The…

Q: the number of production defects is  29  and that  16  of these are classified as major defects,  12…

A: Number of production defects = 29Number of major defects = 16Number of design defects = 12Number of…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 4 people. If there are 10…

A: Consider that the 10 people includes Tony and Maria.

Q: a 4 digit number is selected from the number {1,2,3,4,5,6} where the digits are selected without…

A: Given that  there are digits {1, 2, 3, 4, 5, 6} we have to find number of 4-digits numbers those are…

Q: Suppose we want to choose 2 colors, without replacement, from the 4 colors red, blue, green, and…

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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: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: HOW MANY WAYS 4 PIZZA TOPPINGS BE SELECTED FROM A CHOICE OF 12 TOPPINGS CAN BE CHOSEN ONLY ONCE?

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Q: In a basketball tournament, 8 teams are participating to compete for the top 4 places that will…

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Q: A group of 2 students is to be chosen from a 30-member class to represent the class on the student…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

A: Given: Number of female is, nf=7. Number of male is, nm=6. The objective is to find the number of…

Q: In a competition, junior chefs make a gourmet soup by selecting 10 different ingredients. How many…

A: GivenNo.of different ingredients(n)=10No.of ingredients must include(r)=4

Q: Suppose the group of twenty consists of 8 men and 12 women. How many 7-person teams can be chosen…

A: Given data: The total numbers of people are n=20. The numbers of men are m=8. The numbers of women…

Q: A license plate is to consist of 3 letters followed by 5 digits. Determine the number of different…

A: First, make all possible combinations of first 3 elements of the license plate, that is we need 3…

Q: students have been surveyed to determine if they prefer to work in groups or individually for…

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Q: How many ways can 3 sopranos and 5 altos be selected from 7 sopranos and 9 altos?

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Q: How many different verticals arrangement are there of 10 flags if 4 are green, 3 are red, 2 are…

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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: Berkeley College students have been surveyed to determine if they prefer to work in groups or…

A: Berkeley College students have been surveyed to determine if they prefer to work in groups or…

Q: how many students were surveyed in total?

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Q: At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.How many different three…

A: Ans#-  Given, At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.…

Q: A team of 12 is being selected from 10 females and 15 males. The team must include of five females…

A: Answer - A team of 12 is being selected from 10 females and 15 males.               The team must…

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 10…

A: In the question,Tony and Maria are trying to get on a committee of 3 people,Total number of eligible…

Q: There were more than 24 glasses, but less than 100 glasses. If the glasses were in rows of 6, there…

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Q: A four-person committee is to be selected from an organization’s membership of 12 people.  How many…

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Q: Mrs. Dronamraju has 30 tall plants. Fifteen of her plants have a height of 1.60 m and the remaining…

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Q: From 5 married couples, we want to select a group of 3 people. How many choices are there if the…

A: Given information: The total number of married couples = 5 A group of 3 people is to be selected…

Q: For every supporters of the home team there was 1 supporter of the away team. What was the ratio of…

A: Solution: Given data,Let the total number of supporters of home team be x. And also given that there…

Q: From 8 candidates if 3 are selected for Open Scholarships. How many possible options are available…

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Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

A: Total number of rows = 26Increment in each row = 2So, starting from the first row, we have 30 seats,…

Q: In one of your Political Science courses, there are 51 Democrats, 47 Republicans, and 2…

A: GivenNo.of democrats =51No.of republicans =47No.of independents = 2No.of women =20no.of democrats…

Q: Your friend has given you his list of 115 best Doctor Who episodes (in order of greatness). It turns…

A: Your friend has given you his list of 115 best Doctor Who episodes (in order of greatness). It turns…

Q: Apple has 252 sales repsin order to sell its apple watches.  Each to be assigned to 1 of 4 marketing…

A: Assume number of sales repsin in team2 be x and in team 4 be y So, number of sales repsin in team 1…

Q: Total prize money of $1,480 is to be divided among 8 contestants so that the lowest will receive $10…

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Q: How many ordered lists are there of two items chosen from five?

A: To find the number of ordered lists.

Q: 12 people are lined up in 2 rows of 6 for a photo. How many ways can they be arranged if the tallest…

A: Given a case where 12 people are lined up in 2 rows of 6 each. Now, given the two conditions: The…

Q: A group of 5 students is to be chosen from a 30-member class to represent the class on the student…

A: From the given information, a group of 5 students is to be chosen from a 30 member class to…

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

A: no.of females =7no.of males =6Total no.of peoples=13

Q: Tony and Maria are two star-crossed lovers trying to get on a committee of 3 people. If there are 9…

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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: An organization had 13 employees. There are 7 female employees and 6 male employees. How many…

A: Determine the different number of teams of 5 people can be chosen from these employees where there…

Q: Suppose 7 female and 6 male applicants have been successfully screened for 5 positions. In how many…

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Q: A boy has 2 red, 3 yellow and 3 green marbles. In how many ways can the boy arrange the marbles in a…

A: We have to ans question 1 and 2

Q: A blood bank needs 5 people to help with a blood drive. 10 people have volunteered. Find how many…

A: Given : A blood bank needs 5 people to help with a blood drive.  10 people have volunteered.   To…

Q: one group (a) contains 510 people. one third of the people in group a will be selected to win $50…

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Q: Your company wants to assign identification numbers to each of its employees.  The identification…

A: We are given an identification number consists of 5 numbers followed by 3 letters. And also…

Q: in a rugby match, a tie at the end of two overtime. Leads to a shoot out with five cakes taken by…

A: GivenLeads to a shoot out with five cakes taken by each team from the center of the 22 m line. Each…

Q: how many ways can I sit 7 people around a circular table where seating are considered the same when…

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