The owner of a stereo store wants to advertise that he has many different soundsystems in stock. The store carries 8 different CD players, 7 different receivers,How many different sound systems can the owner advertise?and 9 different speakers.Assuming a sound system consists of one of each, how many different soundsystems can he advertise?

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Answered: The owner of a stereo store wants to…

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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An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and green. The merchant stocks plenty of each color. You need to buy a total of 14 hats, but at most 5 will be blue. How many different purchases are possible?
A student has a choice of four professors for English, four professors for Mathematics, and two professors for Health. How many different class schedules can be made if a student is to take one English, one mathematics, and one Health class?
Assume that the pond contains 120 fish: 94 aqua, 25 canary, and 1 eggplant. A contestant pays $0.55 to randomly catch one fish and receives $0.20 if the fish is aqua, $0.95 if the fish is canary, and $14.00 if the fish is eggplant. How much (on average) does the carnival gain on each play? (If the carnival loses money, enter a negative dollar amount)
A certain school has 3 desktop computers for every 4 laptop computers, and it has 70computers total. How many desktop computers has it?
In a restaurant servers are constantly bringing out beverages to their tables. If a restaurant had a dining hall with only 4-seated tables, how many combinations of soft drinks could the servers bring out if they only had {Coke, Sprite, Fanta}?
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Michael sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 215 visitors purchased no costume. 12 visitors purchased exactly one costume. 3 visitors purchased more than one costume. If next week, he is expecting 1800 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
A birthday cake is to have two layers of cake separated by a layer of icing, with another layer of icing on top. There are 3 kinds of cake the chef knows how to make, and she may use either two different kinds or the same one twice for the two cake layers. The chef knows recipes for 4 different icings, and she will use two different recipes, one for each icing layer, in this cake. How many different cakes could the chef make? Note that the order of the layers matters, e.g. chocolate over strawberry is different from strawberry over chocolate.
Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?
Four men and a monkey spend the day gathering coconuts on a tropical island. After they have all gone to sleep at night, one of the men awakens and, not trusting the others, decides to take his share. He divides the coconuts into four equal piles, except for one remaining coconut, which he gives to the monkey. He then hides his share, puts the other piles together, and goes back to sleep. Each of the other men awakens during the night and does likewise, and every time there is one coconut left over for the monkey. In the morning all the men awake, divide what's left of the coconuts into four, and again there is one left over that is given to the monkey. Find the minimum number of coconuts that could have been in the original pile.
How many different baseball bating line ups are possible if the coach wants to put one of the three best batters in the third position and the pitcher in the fifth position?
You have 4 indistinguishable gold coins and 4 indistinguishable silver coins. Each coin has a side that is heads and a side that is tails. You want to stack the eight coins on a table into a single stack so that no two adjacent coins are face to face. Find the number of possible distinguishable stacks of the 8 coins.
Most courses offered at a local university worth either 4 or 5 credit hours. The members of the women's basketball team are taking a total of 49 courses that are worth a total of 207 credit hours. How many 4-credit courses and how many 5-credit courses are being taken? The team members are taking... 4-credit hour courses 5-credit hour courses.

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