A club has only 5 women and 4 men as members. A team of 3 is to be chosento represent the club. In how many ways can this be done if:(i) there are no restrictions?(ii) the club captain must be on the team?(iii) there must be at least one woman on the team?(iv) there must be more women than men on the team?

Answered: Image /qna-images/answer/d149a1c3-ae46-4328-8c32-d03d1198fc52.jpg

Answered: A club has only 5 women and 4 men as…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

dog's banana tree has 16 bananas, and she wants to share them with her neighbors Beth and Carol, with Beth and Carol each getting no more than 7 banana. In how many ways a dog can share her banana?
what is the answer?
For a fishing trip Brian is going to choose lures to put in his tackle box. He has 7 lures that are buzzbaits and 4 that are crank baits. In how many ways can he choose 6 lures if 1 or fewer must be crank baits
You Glyktllyltktktkyklyky
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?
Mrs. Smith has 6 activity tables she wants to line up side by side in her classroom. (a) In how many ways can she arrange all 6 tables? Show your work.(b) If she only wants to have 4 of the tables set up, in how many ways can she choose the tables shewishes to have set up? Show your work. Answer:
A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if:(i) there are no restrictions? (ii) actor Kristoff will participate only if he is the lead role? (iii) actors Jess and Jet will act together or not at all? (iv) actors Keanne and Gian will not act together?
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,
Alex wishes to pack 8 of his 15 shirts on a trip.( All the shirts are different). He does not wish to pack all 3 of his white shirts nor to pack all 3 of his red shirt. ( This means he has 9 shirts that are neither white nor red) how many ways does he have to pack 8 shirts given these two restrictions?
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?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS