a drawer contains 17 Black socks, 17 White socks, 17 Blue socks and 17 brown socks.  What is the minimum number of sockas that need to be pulled to get a matching pair?

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: There are 15 qualified applicants for five trainee positions in a fast food management program. How…

A: Given, No.of applicants = 15 no.of trainee positions =5

Q: A new committee is to be made from the 8 members of city council. Each member can choose to be on…

A: We have to find nom of committee possible.

Q: A software company employs 9 sales representatives and 8 technical representatives. How many ways…

A: Solve in the following way

Q: Out of a list of 20 colleges, how many ways to schedule the visit of 10 of them (one for each month…

A: Given Information: Total number of colleges = 20 Number of college should visit =10 Number of…

Q: A three-person committee is needed to study ways of improving publictransportation. How many…

A: We have to make committee of 3 person among 8 people .∴No of ways to select is r object among n…

Q: There are 14 standbys who hope to get a seat on a flight, but only six seats are available on the…

A:

Q: Find the number of combinations that can be drawn without replacement by pulling 2 balls from a set…

A:

Q: 5. What is the minimum number of students, each of whom comes from one of the 72 provinces, who must…

A: We have to find What is the minimum number of students, each of whom comes from one of the 72…

Q: A focus group of 3 students from this class is going to be randomly chosen. In how many ways can the…

A: Students to be chosen = 3 Total number of students in the class  = (6+4+3+1+1+5+8+3+1+1) = 33

Q: A track and field event has eight entries.  Assuming that there are no ties, how many different…

A: It is given that, A track and field event has eight entries. And We are assuming that there is no…

Q: Mr.Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5 students to…

A: Given that Mr. Jarvis teaches a science class with 16 students. Jarvis must select a delegation of 5…

Q: There are 9 Canadian, 8 German, 6 Chinese, 10 French and 8 Russian students in a class. What is the…

A: We have, Total Nationalities = 5. So to guarantee at least four of the selected should have the same…

Q: There are 15 qualified applicants for 6 trainee positions in a fast-food management program. How…

A: 15-applicants for 6 trainee positionsNo. of different groupspossible=?

Q: About one-third of pet owners have dressed up their pets Which, if any, of the following have you…

A: Given information: The bar graph for the variable % of US adults who own at least one pet is given.

Q: A strap is made up of 20 beads (4 yellow, 6 blue, 3 red, and 7 green) Calculate for the all possible…

A: According to theorem of permutation of different types of objects, if n objects are arranged in…

Q: A committee of 5 members has to be formed from 8 boys and 12 girls. Find the number of ways to form…

A:

Q: What is the minimum number of students, each of whom comes from one of the 17 regions, who must be…

A: We have students comes from 17 regions.  Now we will distribute no of students to each of 17…

Q: A firm has 2 Managers, 5 Consultants and 4 Analysts. How many ways can a committee be formed…

A:

Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: A sporting goods store has thirteen lines of snow skis, eight types of bindings, eight types of…

A: Consider the given information:  There are 13 snow skies, 8 bindings, 8 boots and 4 types of poles.…

Q: There are 4 districts and 7 individuals available to carry out the survey. Assuming that no one…

A: There are 4 districts to be surveyed. There are 7 individuals available to survey the districts. The…

Q: A four-person committee is to be elected from an organization's membership of 11 people. How many…

A: Formula used:  nCr=n!(n-r)!r!

Q: What is the minimum number of students, each of whom comes from one of 10 provinces who must be…

A: Let number of students that enrolled = n Number of provinces = 10 Number of pigeon holes = 10 Number…

Q: There are 12 qualified applicants for 5 trainee positions in a department store. How many different…

A: Given There are 12 qualified applicants for 5 trainee positions in a department store. This problem…

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: Find the number of different signals that can be made by arranging at least three flags in order on…

A: find the number of different signals that can be made by arranging at least three flags out of 6

Q: How many subsets with an odd number of elements does a set with 10 elements have?

A: To find the total number of subsets with an odd number of elements of a set with 10 elements, first…

Q: A group of five people would like to select two people among themselves and send them to a…

A: It is given that n=5 and r=2.

Q: What is the minimum number of cards that must be drawn from an ordinary deck of cards (52) to…

A: Given problem Given that   The minimum number of cards that must be drawn from a ordinary deck of…

Q: A coordinator will select 5 songs from a list of 14 songs to compose an event's musical…

A:

Q: There are 9 Canadian, 9 German, 6 Chinese, 9 French and 9 Russian students in a class. What is the…

A: As given that there are 9 Canadian, 9 German, 6 Chinese, 9 French, and 9 Russian students in a…

Q: Find the number of ways of getting at least a pair when randomly getting nine cards from a standard…

A:

Q: Suppose a club has 22 members.  How many ways can they form a 5-person committee?

A: Given:  A club has 22 members. We need to form a 5 person committee. We need to find how many ways…

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Q: What is the minimum number resolution IV? (

A: It is given that here the two-level fractional factorial design is with resolution IV.

Q: The minimum number of plumbing fixtures required for a restaurant planned for 250 seats (50% of each…

A:

Q: How many diffrent ways are there to distribute 12 identical bones among three diffrent dogs?

A: It is known that, for any equation,

Q: Suppose a lawyer select 4 jurors from the set of 6 candidates? How many groups are possible?

A: From the provided information, The total candidates = 6 The lawyer selects 4 jurors from 6.

Q: A coordinator will select 5 songs from a list of 10 songs to compose an event's musical…

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

Q: By the Pigeonhole Principle Show that if there are 60 students in a class, then at least two have…

A:

Q: there are 4 districts and 9 individuals available to carry out the survey. Assuming that no one…

A:

Q: Find the minimum number of students that can be admitted to a college so that there are at least 15…

A: Given Data The number of students from one of the 50 states is N=15.   Consider the least 14…

Q: what is the portfolio of a portfolio made up of 40% TATA and 60% BIRLA?

A:

Q: ) The list shows the number bottles oF of strawberry jam sold in a day by 14 dipferent vendors : 19,…

A: Given data is 19,16,10,12,15,13,9,11,17,15,18,20

Q: What is the minimum number of students, each of whom comes from one of the 50 states, who must be…

A:

Q: There are 15 qualified applicants for 5 trainee positions in a fast-food management program. How…

A:

Q: a strap is made up of 20 beads (4 yellow, 6 blue, 3red and 7 green. Calculate for the all possible…

A: A strap is made of 20 beads of which 4 yellow, 6 blue,3 red and 7 green. The total number of…

Q: 6 freshmen, 5 sophomores, 7 juniors, and 6 seniors are eligible to be on a committee. In how many…

A:

Q: There are 11 girls and 11 boys in a class. A committee of seven is selected for a project. How many…

A: Here, there are 11 girls and 11 boys in a class, seven is selected for a project and there are…