Suppose we have 5 chickens, 3 goats, and 4 horses on our farm. All our animals have names, so they're all distinguishable. We decide to sell two animals. How many ways can we do this if the two must be different types of animal?

Q: How many ways can a store manager arrange a group of 1 team leader and 3 team workers from his 25…

A: The number of ways r items can be selected out of n different items is equal to C(n, r) . The…

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: A casting director wishes to find one male and one female to cast in his play. If he plans to…

A:

Q: ou have 4 different russian books, 5 different french books, and 6 different spanish books, in how…

A: You have : 4 different Russian books (R) 5 different French books, and (F) 6 different Spanish books…

Q: There are 16 seniors and 20 juniors in a particular social organization. In how many ways can 2…

A:

Q: In a family of cats, there are 2 un-cool cats for every 3 cool cats. If these cats have 120 paws…

A:

Q: You just got a free ticket for a boat ride, and you can bring along 2 friends! Unfortunately, you…

A: Given: Total friends = 5 Number of friends that could be brought along = 2

Q: There are 3300 students at Northwestern High School and 1/4 of these students are juniors. If 3/5 of…

A:

Q: You have 3 science books, 2 language books, and 4 philosophy books. In how many ways can they be…

A:

Q: Out of 8800 kids visited a restaurant, 2400 like pizza, 3360 like burgers, and 2240 like sandwich,…

A:

Q: A class consists of 60 girls and 40 boys. In how many ways can a president, vice-president,…

A: Number of boys=40 Number of girls=60 Given the treasurer must be a girl. Hence the number of ways to…

Q: Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D. (a) How…

A:

Q: You have 5 Math books, 2 History books, and 4 Science books. How many ways are there to arrange the…

A: If there are n number of distinct objects out of which r objects are selected and then arranged then…

Q: If a team of four players must be made from eight boys and six girls, how many teams can be made if…

A: 1. There are eight boys and six girls, totally there are 14 players. A team of four player. The…

Q: An equestrian club has ten members. If the club wants to select a president, vice president, and…

A:

Q: The Raiders and Cowboys have each made up a scouting list. There are 25 players on the Raiders' list…

A:

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So…

Q: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: A family has nine children. If this family has exactly five boys​, how many different birth and…

A: Given,A family has 9 childrens

Q: Colin has 9 cd’s in his carrying case – two John Tesh, three Michael Jackson, and four Beatles. How…

A: Given: Number of cds = 9 Number of John Tesh cds = 2 Number of Michael Jackson = 3 Number of Beatles…

Q: A woman has 11 close friends. In how many ways can she invite 5 of them to dinner if two of them are…

A: Given, A woman has 11 close friends. To find,  How many ways can she invite 5 of them to dinner if…

Q: A club of 136 members is in the process of choosing a president, a vice presider secretary, and a…

A:

Q: Suppose we want to choose 2 letters, without replacement, from the 3 letters A, B, and C. (a) How…

A: (a)   Determine the number of ways that the 2 letters can be selected from three letters without…

Q: Suppose you have 11 books and you randomly pick 4 to take on vacation with you. How many ways can…

A:

Q: I am going to give my 4 nephews and 1 niece some candies. I have a box of 63 similar candies, and I…

A:

Q: In how many ways can four boys and five girls sit in a row if the boys and girls must sit…

A:

Q: Suppose you have a set of cups and saucers which are red, orange, green, light blue, dark blue, and…

A: Number of different coloured coffee cup=6 Number of different coloured saucer=6

Q: How many ways are there to pick 10 pieces of fruits from a fruit hawker who has four types of…

A: Given information: The number of mangoes in the basket are n(M) = 3. The number of peaches in the…

Q: there are 651 6th grade students at a school, and three out of every seven of them play a sport, how…

A: Given   Number of 6th grade students : 651   If 3/7 plays sports,    Then who don't play a sports…

Q: Suppose, you have 3 different caps, 4 different shirts, 3 different pants and 3 pairs of socks and 2…

A: Depends on given data total outfits 3x4x3x3x2= 216  No need to wear socks and caps So total ways…

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka…

A: Given : Total no of people= 11 Paolo and Hazel sit next to each other.

Q: The cafeteria is serving french toast, cereal, and fruit. If a student may choose any two of those…

A:

Q: If there are 5 ways to perform task A and 6 ways to perform task​ B, then how many ways are there…

A: Given information No of ways to do task A = 5 No of ways to do task B = 6

Q: If there are 4 roads from Town A to Town B and 6 roads from Town B to Town C, in how many ways can…

A: Solution:  It is given that there are 4 roads from town A to town B and 6 roads from town B to town…

Q: Twelve people need to be photographed, but there are only five chairs. (the rest of the people will…

A:

Q: A) 15 people are playing soccer, only 3 people know how to be a goalkeeper, how many ways are to…

A: INTRODUCTION :  probability: If a random experiment or a trial results in 'n' exhaustive, mutually…

Q: A co-rec team to play in an intramural tournament of indoor soccer should consist of three men and…

A: Let us suppose there are three marbles viz. a red, a green and a blue. From these, there are three…

Q: A company has 10 software engineers and 6 civil engineers. In how many ways can they be seated…

A:

Q: If there are 3 roads from Town A to Town B and 4 roads from Town B to Town C, in how many ways can…

A: there are 3 ways to go from A to B  4 ways to go from B to C  3 ways to go from C to B as we can not…

Q: Your club would like to form a committee that has 2 sophomores, 3 juniors, and 4 seniors. If there…

A: In this question out of 7 sophomores we have to choose 2, Out of 8 juniors, we have to choose 3 and…

Q: a club consists of 5 men and 4 women. in how many ways can this club elect a president, Vice…

A: Given data A club consists of 5 men and 4 women

Q: If 4 men and 5 women are having lunch together (a) in how many different ways can they order 2…

A: 4 men and 5 women 2 chicken, 4 turkey, 3 vegan

Q: how many teams can be made if they must all be boys?

A:

Q: Suppose that you must choose three people to meet with a customer. You have nine people to choose…

A: Given data, Total number of people (n)=9 Number of people to meet with a customer (r)=3

Q: A bride is choosing a dress for her bridesmaids. If there are 5 styles, 2 colors, and 7 fabrics, in…

A: There are 5 styles, 2 colors, and 7 fabrics.

Q: In how many ways can a committee of 5 be formed from 5 juniors and 7 seniors if the committee must…

A: We have to find the possible number of ways to form a committee of 5 members from 5 juniors and 7…

Q: In a certain class there are a total of 37 majors in mathematics, 18 majors in philosophy, and 5…

A:

Q: Suppose you have 11 books and you randomly pick 3 to take on vacation with you. How many ways can…

A: To count the number of possible selections

Q: If there are five different toy cars, and you want to put fifteen toy cars on the display, how many…

A: Permutation is the measurement of principle counting. It is measure that arrange the data in an…

Q: In a group of 10 students, there are 4 females and 6 males How many different 5-member committees…

A: Use combination formula to answer it