1 A team of 8 members will be created from a pool of 15 candidates (10 Men and 5 Women). How many teams is possible if it contains at least 5 Men. Enter your answer

Q: 7) Six bands have volunteered to perform at a benefit concert, but there is only enough time for our…

A: Explanation of the answer is as follows

Q: a class has 8 males and 9 females. three are chosen without replacement. all are females  at least…

A: According to the provided information, a class has 8 males and 9 females. three are chosen without…

Q: 6. A survey in the year 2020 asked families whether they owned a hermit crab, a turtle, or a snail.…

A: Let H, T and S be the set of families who owned a hermite crab, turtle and snails respectively. H…

Q: Five people applied for jobs at a store. Only two of these people will be hired. The number of…

A: Let the five people that applied for the job are:   A, B, C, D & E Out these 5 persons, only two…

Q: A committee of 5 people is to be elected from a group of 7 men and 9 women. (a) How many distinct…

A: 4 (a) There are totally 16 people out of which 7 are men and 9 are women. The committee should…

Q: There are 100 students at a swim meet. Every 3rd finis in the race receives a medal. Every 5th…

A:

Q: A committee of 8 members is to be chosen from 9 teachers and 4 students. In Example 61. how many…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: A group of ten seniors, seven juniors, five sophomores, and four freshmen must select a committee of…

A: Consider the given information.

Q: A landscaper has 6 different flowering plants and 4 different non-flowering bushes. She needs to…

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

Q: A computer programming team has 9 members. a. How many ways can a group of five be chosen to work on…

A: The are 9 members in the computer programming team. Useful formula: Crn=n!r!n-r!

Q: Seven women and nine men are on the faculty in the mathematics department at a school. i.How many…

A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: a restaurant offers 2 different flavours of coffee 3 different soup selection. in how many ways can…

A: Two step multiplication principle: Assume that a taskcan be broken up into two consecutive steps.…

Q: A committee of 4 people is to be formed from a group of 5 men and 5 women. a. How many committees…

A: Given data 5 men and 5 women A committee of 4 people needs to be formed a) No of possible committees…

Q: 1) A drive-in theater has spaces for 20 cars in the first parking row, 22 in the second, 24 in the…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: student council at a certain school has 10 members. Four members will form an executive committee…

A: Total no of members = 10 4 members committee need to be formed No of ways four positions can be…

Q: women and 8 men are on the faculty in the mathematics department at a school. a) How many ways are…

A:

Q: green A store sells rubber balls in 4 different colors: red, yellow, blue, and If the store has a…

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: 9. A math club has 50 members, 28 female and 22 male members. a) If a committee of 5 is to be…

A: Solution According to guideline  we solve three subpart

Q: There is a group of 8 instructors and 13 new students at a university sports match. They wish to…

A: Given that there are 8 instructors and 13 new students at a university sports match. So total…

Q: There are three dice rolled at the same time. b. How many possible outcomes are there if the…

A: Given that, There are three dice rolled at the same time.

Q: 5. Lisa invites 5 friends over to her house on very short notice so they may not all be able to come…

A: The combination is a technique to determine the number of probable arrangements from a set of…

Q: 3n couples and their one child sit at a round table in such a way that their one child is between a…

A: It is given that there are 3n couples and their one child sit at a round table in such a way that…

Q: A large university accepts 50​% of the students who apply. Of the students the university​ accepts,…

A:

Q: Example 52. A committee consisting of 5 members is to be formed out of 6 men and 4 women. How many…

A:

Q: A coffee shop offers five different flavors of coffee and three flavors of doughnuts. How many…

A:

Q: Eight people are going for a ride in a boat that seats eight people. One person will drive, and only…

A: Given an eight seater boat. We need to find number of seating arrangements possible for 8 people…

Q: A class has 18 boys and 13 girls as students.

A: Given data:     The total number of boys in the class is: B=18. The total number of girls in the…

Q: marching band consists of 11 pipers and 12 drummers.  Three of them are selected to march in order…

A: The formula for Permutation is nPr = n!/(n – r)!. Explanation: Consider that r items need to be…

Q: In one class 18 students play basketball, 14 students play soccer and 10 students play volleyball. 5…

A: Given:  The number (no. ) of students play basketball (B)=18. The no. of students play soccer…

Q: A group of eleven seniors, seven juniors, six sophomores, and five freshmen must select a committee…

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

Q: A group of twelve seniors, eight juniors, six sophomores, and five freshmen must select a committee…

A: Solution: a. From the given information, there are 12 seniors, 8 juniors, 6 sophomores and 5…

Q: 8. A committee of 5 people is to be chosen from a group of 6 mer and 4 women. How many committees…

A:

Q: .) there are no restrictions b.) one particular person must be chosen on the committee? c.) one…

A: A committee of 5 people is to be chosen from a group of 6 men and 4 women total persons are 10  here…

Q: A committee is to consist of a chair, two hagglers, and three do nothing's. The committee is formed…

A:

Q: 3. A president and vice-president are chosen from a group of 8 people. How many different…

A: topic - permutation and combination

Q: In a group of 11 students, there are 6 females and 5 males How many different 4-member committees…

A:

Q: A high school tennis team is scheduled to play 28 matches. If the team wins 60% of the first 15…

A:

Q: Seven women and nine men are on the faculty in the mathematics department at a school. How many ways…

A:

Q: 5. At a certain clothing store there are 5 choices of color for the shoes, 7 choices of color for…

A: Choices of shoes color =5 Choices of pants color =7 Choices of shirts color =6 In this context, 500…

Q: An advisory committee is being formed for a new project at a company. The committee has 6 identical…

A: Given, A committee has 6 identical positions to be filled. Total employees in Research and…

Q: president, a treasurer and a secretary are to be chosen in an organization having 30 members. How…

A: 30 members, President, a treasurer and a secretary are to be selected.  If a certain group of 3…

Q: Student council needs to create a committee of 6 students to run their social events. 12 students…

A: There are 12 students.  In those 12 students, 8 are women and 4 men. A committee of 6 students are…

Q: 7. There are 7 boys and 5 girls in a class. а. How many ways can a committee of 4 people be selected…

A:

Q: A committee of 6 people is chosen from 6 women and 6 men. How many different committees are possible…

A: Given that a committee of 6 people is chosen from 6 women and 6 men.

Q: A horse race has 12 horses. i) How many dierent ways can the podium be arranged? (The podium has a…

A: There are 12 horses. I place choices are 12; II place choices are 11; and III place choices are 10.…

Q: A volleyball team consists of 14 players: There are 6 rookies and the rest of the players are…

A:

Q: A group of eleven seniors, seven juniors, five sophomores, and four freshmen must select a committee…

A:

Q: A group of ten seniors, seven juniors, six sophomores, and five freshmen must select a committee of…

A: Answer can be using permutation and combination.