12. How many possible sets of four marbles include no more than 1 purple marble? A bag contains 5 red marbles, 3 blue marbles, 2 green marbles, 1 yellow marble and 1purple marble. Answer questions 16-19.

Answered: Image /qna-images/answer/fe572be8-042a-47a0-8d4f-a197b1b39b60.jpg

Answered: 12. How many possible sets of four…

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...

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Similar questions

4. How many ways are there to arrange 6 different unique chairs (i.e., each chair is different from any other chair) into 3 separate rooms? No room can be left empty.
A bag contains two red marbles, two green ones, one lavender one, three yellows, and two orange marbles. How many possible sets of four marbles are there?
A club has 13 women and 7 men. They decided that at leats two women should represent them on the committee of 8. Under this restriction, how many different groups from this club are possible?
4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow ones and two orange ones. How many sets of five marbles do not include all of the red ones?
An urn contains 5 red balls, 4 green balls, and 1 white ball. Three are drawn simultaneously. Answer the following questions: How many ways can 1 ball of each color be drawn? How many ways can at least 1 green ball be drawn? How many ways can the same color ball be drawn?
7.
If you have 12 boxes then how many balls do you have to put randomly into the boxes in order to guarantee that some box will contain at least 4 balls?
2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.
42. A certain restaurant prepared meals during the pandemic for the first-responders. If they prepared 4 spaghetti meals for every 7 meat meals, how many meat meals were there if there were 385 meals prepared?
20 different comic books will be distributed to 5 kids. 1) How many ways are there to distribute the comic books if there are no restrictions on how many go to each kid (other than the fact that all 20 will be given out)? 2) How many ways are there to distribute the comic books if they are divided evenly so that 4 go to each kid??
32. A track coach must choose a 4-person 400 m relay team and a 4-person 800 m relay team from a squad of 7 sprinters, and of whom can run on either team. If the fastest runner sprints last in both races, in how many ways can the coach form the two teams if each of the 6 remaining sprinters runs only once and each different order is counted as a different team?
2. How many ways are there to place 12 people into four groups of equal size?

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