A computer programming section has 11 members. A team of 5 is to be chosen to work on a special project. (a) How many ways can the team be chosen? (b) Suppose there are 6 men and 5 women in the section. How many teams of 5 have no women? How many teams of 5 have one woman ? How many teams of 5 have two women? How many teams of 5 have at most two women? (c) Two team members refuse to work together on projects. The teams must include one or neither of them. Now how many teams of 5 can be chosen to work on the project?

A computer programming section has 11 members. A team of 5 is to be chosen to work on a special project. (a) How many ways can the team be chosen? (b) Suppose there are 6 men and 5 women in the section. How many teams of 5 have no women? How many teams of 5 have one woman ? How many teams of 5 have two women? How many teams of 5 have at most two women? (c) Two team members refuse to work together on projects. The teams must include one or neither of them. Now how many teams of 5 can be chosen to work on the project?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

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: 20 professors are having a tea party, 6 physicists and 14 mathematicians. To prepare, they need to…

A: From given data we have : 20 professors are having a tea party, 6 physicists and 14 mathematicians.

Q: are possible? (a) How many different delegations The 4 delegates can be selected different ways. (b)…

A: Solution: The total number of delegates to be chosen is 4. The number of available resources to…

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

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

Q: Suppose there are 120 students in a veterinary school. There are 49 students that have a dog, 56…

Q: (i) CarLand is a car dealership with 22 sales staff. They decide to select 8 staff to be trained as…

A: A set of m member staffs from total n members group can be formed in any nm ways, with condition…

Q: We have 9 women and 7 men candidates for a committee that only needs 3 women and 2 men. How many…

A: Given, No. of men =7 No. of women = 9 Committee has 3 women and 2 men Total no. of ways to form…

Q: 7. A computer programming team has 15 members consisting of eight humans and seven robots. A…

A: 7. Given that a computer programming team has 15 members consisting of 8 humans and 7 robots. Also,…

Q: A restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two additional…

A: Given that the restaurant offers a pasta deal where you choose a type of pasta, a sauce, and two…

Q: Three men and three woman have just six tickets in one row to the theater. In how many ways can they…

Q: 100 people went to the amusement park. 51 went on roller-coasters, 29 went to the haunted house and…

A: Introduction: Suppose A, B, and C are three events, and n (A), n (B), and n (C) are the respective…

Q: 1. The manager of the Yankees has to choose 28 players for an upcoming game agai the Phillies. On…

A: a) Here he selects as a group, so the arrangement is not required. So we will use the combination…

Q: Suppose that a candy shop sells eight different kinds of candies: 50 cherry, 50 strawberry, 40…

A: Given that, 8 different type of candies. 50 cherry, 50 stawberry ,40 orange, 70 lemon, 30…

Q: How many students are taking at least one of the three classes?

A: Concept: The number of ways of achieving success that is the total number of possible outcomes is…

Q: My grandson likes to play with cards (he always includes the jokers). First he drops the deck of…

A: Given information:Child always picks up at least 1 card, but he could pick up 1, all 54, or any…

Q: A boy owns 10 pairs of pants, 6 shirts, 2 ties, and 9 jackets. (a) How many outfits can he wear to…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: 1) A lunch special at the local diner comes with a choice of beverage, choice of sandwich, and…

Q: Some of my cousins and I spent a week helping Grandma Rosie clean out her attic. We found a bunch of…

A: Total number of marbles = 3672 Let the number of grand-children be xNumber of marbles equally…

Q: Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbels and 2 blue marbles.…

A: Given that Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbels and 2 blue…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

Q: A boy has a collection of 20 pennies, 8 nickels, 10 dimes and 15 quarters. How many coins must the…

A: ANSWER :

Q: A bag of coins contains nine pennies, six nickels, four dimes, and three quarters. Assuming that the…

A: Given information: A bag of coins contains nine pennies, six nickels, four dimes, and three…

Q: Jack packs 3 pairs of shoes, 4 pairs of boots, 8 pairs of jeans, 9 pairs of dress pants, and 2 dress…

A: He can pick a shoe in 3 ways, a boot in 4 ways, a jeans in 8 ways, a dress pant in 9 ways, a dress…

Question

A computer programming section has 11 members. A team of 5 is to be chosen to work on a special project.

(a) How many ways can the team be chosen?

(b) Suppose there are 6 men and 5 women in the section.

How many teams of 5 have no women?

How many teams of 5 have one woman ?

How many teams of 5 have two women?

How many teams of 5 have at most two women?

(c) Two team members refuse to work together on projects. The teams must include one or neither of them. Now how many teams of 5 can be chosen to work on the project?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A large research project is looking for more researchers. There are 8 spots open on the research team. There are 10 mathematicians and 14 computer scientists that apply for the team. a. How many different ways can a team of 8 be made for the project? b. How many different ways can a team of 8 be made for the project if the team must contain at least one computer scientist and at least one mathematician.
2. A student is to answer 10 out of 13 questions. Find the number of choices where the student must answer: (a) the first three questions. (b) first or second question but not both. (c) exactly 2 out of first 5 questions. (d) at least 4 out of the first 6 questions.
Nine IU South Bend students are going on a trip to Indianapolis for a Clots game. Go Colts! (a) They will seat in a row. In how many ways can they seat if Josh, Mark and Mary will sit together? (b) They will travel with three cars that hold 2, 4, and 5 people, respectively. All of them can drive. Find the number of possible ways to allocate 9 people to 3 cars that each car has at least one person (each car has to have a driver) (i) if the allocations are to the cars only (disregard the seats in the car). (ii) if the allocations are to the seats.
A boy owns 10 pairs of pants, 5 shirts, 7 ties, and 8 jackets.(a) How many outfits can he wear to school if he must wear one of each item? (b) How many outfits can he wear to school if he must wear pants, shirt and a jacket, but the tie is optional? Submit QuestionQuestion 1
d. [Permutation] Solve the following problems - Find the number of words that can be formed by using the letters of the word "DEMOCRACY" where first letter will be always C and last letter will be R. e. [Combination] A group of 15 students is to be formed from 44 students of MATI00 Course. Among the students of the course there is 2 renowned batsmen, 3 spinners, 2 fast blowlers and 2 wicketkeepers. How many different ways this can be done so as always to (i) include 1 renowned batsman, 1 fast bowler, 1 spinner and 1 wicketkeeper; and (ii) exclude spinners? 2.
A bagel shop has a selection of 8 different kinds of bagels (at least 10 of each). (.1) How many different selections of 10 bagels can be made? ( .2) If garlic is one kind of available bagel and onion is another, how many different selections of 10 bagels can you make so that you have at least 3 onion bagels and exactly 2 garlic bagels?
A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,
A basket contains 2 pink, 3 yellow, 8 red, and 1 black jelly beans. You grab a handful of 4 jelly beans. (a) How many groups of 4 jelly beans include exactly 1 of each color? (b) How many groups of 4 jelly beans include at most 1 yellow?