2. In a group of 6 males and 4 females, four technologists are to be selected. In how many different ways can then be selected such that at least one male should be there?

Q: a blood​ drive, 6 donors with type O+ ​blood, 5 donors with type A+ ​blood, and 2 donors with type…

A:

Q: Suppose that in a certain association, there are 12 elected members of the Board of Directors. In…

A:

Q: M&M’s® offers customers the opportunity to create theirown color mix of candy. There are 21…

A:

Q: . A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Q c asked and answered.

Q: How many different teams of 4 can be chosen from a group of 16 adults and 18 children if each téam…

A: Given : 16 adults and 18 children If each téam must have at least two adults on it , then there are…

Q: 19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how…

A:

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: Please answer 20A and 20B

A: 20. Consider the provided question, Given there are two 100 fish tanks. Total number of fish = 200…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

A:

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A: Given Total players = 20 We need to select 9 out of 20.

Q: XI In a group of 11 boys and 9 girls, 5 are to be selected. In how many ways can they be selected…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: At a computer store, a customer is considering 6 different computers, 7 different monitors, 8…

A: Given that there are 6 different computers, 7 different monitors, 8 different printers, 4 different…

Q: A club with nineteen members is to choose three​ officers: ​ president, vice-president, and​…

A: Permutation:   It is nothing but  an arrangement of objects with the definite order.   Let n is the…

Q: A food company is testing 4 chocolate chip​ cookies, 5 ​crackers, and 6 ​reduced-fat cookies. If…

A: Given : chocolate chip​ cookies : 4 crackers: 5 reduced-fat cookies: 6

Q: Assuming that no one can hold more than one office, how many selections are possible?

A: select a president, vice-president, secretary, and treasurer out of a club with 15 members.  Here…

Q: 15. How many different arrangements of ten cars in order are possible in a parking lot that is made…

A: Answer:

Q: If a small monster collector has 20 small monster containment devices; intends to use all of those…

A: The small monster collector has containment devices and will use all of them, while capturing at…

Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 20 and…

A: 1 to 20 there are 20 numbers. Given that no number may be used twice. Means the combination will not…

Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

A:

Q: group of 9 grade 11’s and 13 grade 12’s apply to go to a student conference in Vancouver, but there…

A:

Q: 4. The janitor wants to prevent insect invasion in a building with 15 floors. Since insect killing…

A:

Q: 9. How many unique combinations of monsters can a small monster collector capture, if that…

A: Let the number of earth, fire, ice and steam type small monsters caught be X, Y, Z and K…

Q: Consider three different classes at a small college; a mathematics class with 32 students, an…

A: Given that n(A)= 32,n(A) =30,n(f) =26, n(MF) =13,n(AM)=11,n(AF) =16,n(AMF) =6.

Q: At a blood drive, 5 donors with type O + blood, 5 donors with type A + blood, and 2 donors with type…

A: Solution-: Given: Number of donors with type O+ =5           Number of donors with type A+ =5…

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: At a blood drive, 4 donors with type 0+ blood, 3 donors with type A+ blood, and 3 donors with type…

A:

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

A:

Q: At a blood drive, 6 donors with type O+ blood, 5 donors with type A+ blood, and 3 donors with type B…

A: Given that, 6 donors with O positive blood 5 donors with A positive blood 3 donors with B positive…

Q: 6. In a group of 60 people, 27 prefer cold drinks and 42 prefer hot drinks, with each participant…

A: Given that  We have to find the number of individual who enjoy both coffee and tea:…

Q: A certain cooperative has 15 men and 8 women. In how many ways can a committee of 6 members be…

A: GivenNo. of men =15no.of women = 8

Q: 2. A carton of 12 rechargeable batteries contains one that is defective. In how many ways can an…

A:

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 a group of 6 boys and 4 girls, 4 children are to be selected. In how many ways can they be…

A: The number of ways in which r different items can be selected from n different items, can be given…

Q: From a group of 4 men and 5 women, how many committees of size 3 are possible a) with no…

A: Since , there are a group of 4 men and 5 women. Therefore , the total number of people=n=4 men + 5…

Q: A new vaccine is being tested on a group of 4000 people by giving 2500 people the vaccine and the…

A: there are total of 4000 people. Out of which 2500 are to be given a vaccine. (a) out of 4000 people…

Q: In a group of 4 people, is it possible for each person to have exactly 3 friends? Why?

A: Let G be a graph with 4 vertices, one vertex representing each person in the group. Join two…

Q: The Mars company offers customers the opportunity to create their own color mix of M&M’s candy.…

A: It can be calculated by using combination formula  C(n,r)=n! /(n−r)!(r)!

Q: Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute…

A:

Q: A club has 13 women and 7 men. They decided that at leats two women should represent them on the…

A:

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: 2.25 A certain brand of shoes comes in 5 different styles, with each style available in 4 distinct…

A: Consider the data related to the shoe brand, styles, m=5colors, n=4 Each style with a color is a…

Q: Three different classes contain 20, 18, and 25 students, respectively, and no student is a member of…

A:

Q: At a blood drive, 5 donors with type O positive blood, 4 donors with type A positive blood, and 3…

A: Suppose there are n items to be arranged in a row. Further consider that each of these n items is of…

Q: A firm is considering expanding into 5 of 14 possible cities. How many different groups of 5 cities…

A: The combination formula is nCx = n! /(n-x)! x!

Q: 2) A class has 25 students. Each day, three students are chosen to present their work at the board.…

A:

Q: a) From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at…

A: Given that from a group of 7 men and 6 women, five persons are to be selected to form a committee so…

Q: See picture

A: It is given that there are 10 different computers, 9 different monitors,7 different printers are 4…

Q: A police department in a small city consists of 10 officers. If the department policy is to have 5…

A: From the provided information, Total officers = 10 5 of the officers patrolling the streets, 2 of…