3. Suppose rectangular banners come ineight different colors and triangularbanners come in five different colors. If weallow repetition of banners, in how manyways can one hang three banners in a rowsuch thata. any three banners can be hung?b. the first is a triangular banner while thelast is a rectangular banner?c. rectangular banners alternate withtriangular banners?d. at least one of the banners isrectangulare. the three banners are either allrectangular or all triangular

Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Answered: 3. Suppose rectangular banners come in…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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5
Answer each permutation problem completely. Show complete solution. There are 12 people in a dinner gathering. In how many ways can the host (one of the 12) arrange his guests around a dining table if a. they can sit on any of the chairs? b. 3 people insist on sitting beside each other? c. 2 people refuse to sit beside each other?
A company sells regular hamburgers as well as a larger burger. Either type can include cheese, relish, lettuce, tomato, mustard, or ketchup. a. How many different hamburgers can be ordered with exactly 5 extras? b. How many different regular hamburgers can be made that use any 5 of the extras? c. How many different regular hamburgers can be ordered with at least 3 extras?
A group of five people line up for a photo. There are two adults and three kids in the group.How many ways are there to line up the people if an adult must be on each end of the line up? 12 24 48 120
A married couple decides to have a party. The husband has 8 friends and the wife has 9 friends. Unfortunately, none of the husband’s friends will attend a party that is attended by any of his wife’s friends. How many different parties of size 4 can the couple have?
. Suppose you are working on a ten-digit keypad to open a door. You know the combination is exactly three digits long.1. How many choices are there if you may use a number multiple times and the order matters?2. How many choices are there if you may not use a number multiple times and the order matters?3. How many choices are there if you may not use a number multiple times and the order doesnot matter?4. How many choices are there if you may use a number multiple times and the order does notmatter?
With a short time remaining in the day, a delivery driver has time to make deliveries at 7 locations among the 8 locations remaining. How many different routes are possible? There are possible different routes. (Simplify your answer.)
A game consists of spinning a spinner and then rolling a number cube. The spinner is equally likely to land on any 1 of the 4 colors red, yellow, green, or blue. The number cube is equally likely to land with any of the 6 sides labeled 1 through 6 up. To win the game, a contestant must either spin red and roll any number or spin a color other than red and roll a 6. In other words, the contestant must either spin red or roll a 6 to win. Draw a rectangular model to go along with this problem.
Jennifer, Bridget, Sandra, Robertina, and Joycelyn have their birthdays on consecutive days, but not necessarily in that order. Jennifer’s birthday is as many days before Sandra’s as Bridget’s is after Joycelyn’s. Robertina is two days older than Joycelyn. Sandra’s birthday this year is on a Wednesday. On what days of the week are the birthdays of the other four this year?
6. A jar is to be filled with 100 jelly beans. There are five varieties of beans to choose fromn and we are required to use between 10 and 50 beans of each variety. How many different ways of filling the jar are there?
2. If there are 120 people in your college class, are there at least 5 people that share the same last initial? a. Let the pigeon holes be: b. Let the pigeons be: c. What is k? d. Now the number of pigeons would have to be greater than: e. Is the number of pigeons or people greater? Why or why not? f. Are there at least 5 people that share the same last initial if there are 120 people in the college class? Why or why not? Write your response below:
An ice cream store has 25 flavors to select from. A customer walks in and orders a three-scoop ice cream cone. How many ways can the customer make this selection if... a. the flavors can be the same and the order is important? b. the flavors are different and the order is not important?

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