10) Out of the 7 finalists, how many ways can we give awards for First, Second, and Third? O 210 105 315 440 O 2187

Q: 3) Suppose the math club as 14 members. How many ways can they select a president, a vice president,…

A: Combination is used when the problem is related to selection only and the sequence of selection or…

Q: All people in the survey- (a) How many of the people own a cat but don't own a fish? Own a fish Own…

A: For b The question is How many people own neither a cat nor a bird  then           As per it…

Q: In how many ways can we select 5 people out of ?10, of which a particular person is not included 9C5…

A: There are ways that are used to find the number of arrangements to select an object. (a)…

Q: In how many ways can 12 people line up in a row? 144 O 12 O 1212 479,001,600

A: Multiplication rule: If there are a ways of doing something and b ways of doing another thing, there…

Q: 3. a) How many ways are there to select three math help websites from a list that contains six…

A: Given that: a. 3 math help websites from 6 different sitesb. 3 cars and 4 trucks from 8 cars and 11…

Q: 4. How many combinations of 4 objects are there taken 2 at a time? O 12 O 24 O 6 2

A:

Q: 3. Find 30% of 70. 4. What is 120% of 25?

A: (3)  30% of 70 =70×(30%)=70×30100=21

Q: At a community college, a survey was taken to determine where students study on campus. Of the 270…

A: Given: Total number of student surveyed: 270Student in Library: 167Student in Cafeteria: 130Student…

Q: The number of ways a team of 2 players can be chosen out of 10 players is O 45 O 110 O 100 10 O 90

A: Here we have to fund out the number of ways team can be selected

Q: 20 applicants from a pool of 90 applications will be hired. How many ways are there to select the…

A:

Q: Evaluate P( 16, 3 ) O 4116 O 3360 O 48 O 13 A special plate number is made up of 2 letters of the…

A: As per our guidelines we are suppose to answer only one question. We know that P(n,r)=n!n-r!

Q: 6. A six-person committee composed of Alex, Ben, Connie, Dan, Ellen, and Frank is to select a…

A:

Q: A school plans to send 5 of the students on the Student Council to a student leadership conference.…

A: The number of students in grade twelve and grade eleven are 5, 10, respectively. We need to…

Q: in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a…

A: Given: Students in Harley Hall =9 Students in Kieffer Hall =14 Students in Naugle hall = 7 Total…

Q: 15. In how many ways can the 8 members of the committee be chosen from 15 senior and 10 junior…

A: Here use combination

Q: In how many ways can 8 campers sit around a campfire? 5,040 5,760 40,320

A: No of ways n people can sit around a circle = (n-1) !

Q: d) How many ways to invite 10 out of 20 friends to be part of a group chat?

A:

Q: A survey of 1200 people in a certain city indicates that 870 own microwave ovens, 750 own DVD…

A:

Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

Q: 18. A woman has 10 close friends. Find the number of ways in which she can invite 4 of them to…

A: Given data: The total numbers of friends are n=10. The numbers of friend invite to dinner are r=4.…

Q: Answer question 3

A: Given : 800 people attended a football game between two schools in a district. ( i ) 2/5 th of the…

Q: 6. The University of Montana ski team has 15 entrants in a men's downhill ski event. The coach would…

A: 6) The number of entrants in men’s downhill ski event is 15.

Q: 5) You have been asked to judge an art contest with 15 entries. In how many ways can you assign 1st…

A:

Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be…

A:

Q: 2. How many ways are there to order the letters L,A,K.E,S?

A: Given, The letters L,A,K,E,S  We have to find how many ways are there to order the letters.

Q: In how many ways can cricket eleven be chosen out of 14 players but one particular player will be…

A: Permutation and combination are used to calculate the number of possible ways to arrange or select a…

Q: In a shipment of 25 parts, 8 of the 25 parts are defective! In how many ways can the technician…

A: Introduction: It is required to calculate the number of ways of selecting 2 defective parts.

Q: In how many possible ways can Juan answer an 8-item matching type quiz if there are also 10 choices…

A:

Q: 7) A tourist in France wants to visit 12 different cities. How many different routes are possible?…

A: Answer of q-7    12 different city to visit We have to find nom of different routes possible Here…

Q: 16. A school committee needs 2 more students. How many ways can the committee be selected from a…

A: total number of students in group = 10 number of students to be select = 2

Q: 4. In a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors…

A:

Q: 210 students were asked whether they want to go to a water park or a roller skating rink for a class…

A: The contingency table is given as follows:   Water park Skating Total Boys 60 55…

Q: A student is to answer 10 out of 15 questions on a midterm test.         a. How many examination…

A: Given that  A student is to answer 10 out of 15 questions on a midterm test. Total number of…

Q: 3. In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are…

A:

Q: In how many ways can 5 people line up to pay their electricity bills if two particular persons…

A: Numbers of way they can line up if two particular persons refuse to follow each other = Total…

Q: In how many ways can 8 people be seated in a row if a.) there are no restrictions on the seating…

A: Given that there are 8 people sitting in a row.The number of people, n=8.

Q: d. If marbles from Bag C were drawn 10,000 times, about 600 red marbles are likely to be drawn. e.…

A: d. The number of red marbles are likely to be drawn from Bag C of 10,000 times is, Red…

Q: (a) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different…

A: The solutions are given below

Q: 1. Based on the Venn diagram below, how many students are on the baseball team? 25 9. 44 Baseball…

A: We can solve this question using the calculation as below

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: In how many ways can 2 pizza toppings be chosen from 12 available toppings? O 74 58 O 43 66

A: It is asked to find the number of ways to select 2 pizza toppings from 12 available toppings.

Q: Ten members of a wedding party are lining up in a row for a photograph. (a) How many ways are there…

A: (a) Compute the number of ways to line up ten people as follows. It is known that the number of ways…

Q: In how many ways 5 students can be selected for a committee from 13 students? 3 154440 2201287

A: Combination is used to make the selection from the total number of outcomes whereas permutation is…

Q: In a survey on beverages, 80 people like Coca Cola, 60 like Pepsi, 50 like Lemonade, 30 like Coca…

A:

Q: All freshmen in the survey- (a) How many of the freshmen like exactly one of the three types of…

A: Given :

Q: In how many ways can a committee of 4 people be chosen out of 8 people? O a. 126 O b. 720 O c. 1680…

A: Number of people n=8Number of people to be selected (r)=4Number of ways=?

Q: 1- In how many different ways, 8 seats can be occupied by 3 students? э)О 336 5)O 95 20040 =)O 210…

A:

Q: How many ways can 10 people line up at the front of a class if Billy and Samantha are together? O…

A:

Q: 12. An eye doctor keeps track of whether people who come in for testing need glasses. When she…

A:

Q: In a group of some people, 145 people can speak English and 90 can speak French and 55 can speak…

A: a). Therefore there are 180 people in the group.

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.