![HourlongNine342](/avatars/1136.jpg)
HourlongNine342
26.08.2019 •
Mathematics
Acatering service offers 6 appetizers, 10 main courses, and 8 desserts. a banquet committee is to select 2 appetizers, 3 main courses and 2 desserts. how many ways can this be done?
Solved
Show answers
More tips
- F Family and Home How to Choose a Name for Your Baby?...
- B Business and Finance How to Open an Online Store? A Detailed Guide for Beginners...
- W Work and Career How to Write a Resume That Catches the Employer s Attention?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Get it right I need this bro...
- M Mathematics Sorry Professor McGonagall ,Note not all cats like to be raised high in the air and sang the lion king opening...
- M Mathematics If the volume of a sphere is 36pi cubic units, what is the radius? - 4 square root 3 units - 9 units - 3 units...
- M Mathematics There are about 237milliliters in 8 fluid ounces. about how many milliliters are in 15 fluid ounces?...
- M Mathematics If 5 inches is added to both the length and the width of a rectangle, then the perimeter is increased by -...
- M Mathematics A point located at (0, -4) is the same distance from 0 as the point located at (4, 0)....
- M Mathematics Someone figure this out please! no files though...
- M Mathematics I will give Brainiest if you are right...
- M Mathematics By what factor should the parent function f(x) = yx be stretched so the graph passes through the point (8,-6)? O A. -2 O B. -3 o C. 25 O D 2...
- M Mathematics WILL PAY 50 IF SOMEONE HELPS ME ANSWER...
Ответ:
You might be asking how many different meals can be served at the banquet,
or you might be asking literally how many 'ways' there are to put meals together.
I'm going to answer both questions. Here's how to understand the difference:
Say you have ten stones, and you tell me "I'll let you pick out two stones
and take them home. How many ways can this be done ?"
For my first choice, I can pick any one of 10 stones. For each of those . . .
I can pick any one of the 9 remaining stones for my second choice.
So the total number of 'ways' to pick out two stones is (10 x 9) = 90 ways.
But let's look at 2 of those ways:
-- If I pick stone-A first and then pick stone-G, I go home with 'A' and 'G'.
-- If I pick stone-G first and then pick stone-A, I still go home with 'A' and 'G'.
There are two possible ways to pick the same pair.
In fact, there are two possible ways to pick every pair.
So there are 90 ways to pick a pair, but only 45 different pairs.
That's the reason for the difference between the number of ways the
committee can make their selections, and the number of different meals
they can put together for the banquet.
So now here's the answer to the question:
-- Two appetizers can be selected in (6 x 5) = 30 ways.
(But each pair can be selected in 2 of those ways,
so there are only 15 possible different pairs.)
-- Three main courses can be selected in (10 x 9 x 8) = 720 ways.
(But each trio can be selected in 3*2=6 of those ways,
so there are only 120 possible different trios.)
-- Two desserts can be selected in (8 x 7) = 56 ways.
(But each pair of them can be selected in 2 of those ways,
so there are only 28 possible different pairs.)
-- The whole line-up can be selected in (30 x 720 x 56) = 1,209,600 ways.
But the number of different meals will be (30 x 720 x 56) / (2 x 6 x 2) =
(15 x 120 x 28) = 50,400 meals.
Ответ:
Step-by-step explanation:
The given inequalities are :
And
We need to draw the graphs for inequalities (1) and (2).
Put the value of y from (1) in (2).
The attached figure shows the required graph.