![Chapo3760](/avatars/33899.jpg)
Chapo3760
25.11.2019 •
Mathematics
Ten kids line up for recess. the names of the kids are: {abe, ben, cam, don, eli, fran, gene, hal, ike, jan}. let s be the set of all possible ways to line up the kids. for example, one ordering might be: (fran, gene, hal, jan, abe, don, cam, eli, ike, ben) the names are listed in order from left to right, so fran is at the front of the line and ben is at the end of the line. let t be the set of all possible ways to line up the kids in which gene is ahead of don in the line. note that gene does not have to be immediately ahead of don. for example, the ordering shown above is an element in t. now define a function f whose domain is s and whose target is t. let x be an element of s, so x is one possible way to order the kids. if gene is ahead of don in the ordering x, then f(x) = x. if don is ahead of gene in x, then f(x) is the ordering that is the same as x, except that don and gene have swapped places. (a)what is the output of f on the following input? (fran, gene, hal, jan, abe, don, cam, eli, ike, ben) (b)what is the output of f on the following input? (eli, ike, don, hal, jan, abe, ben, fran, gene, cam) (c)is the function f a k-to-1 correspondence for some positive integer k? if so, for what value of k? justify your answer. (d)there are 362880 ways to line up the 10 kids with no restrictions on who comes before whom. that is, |s| = 362880. use this fact and the answer to the previous question to determine |t|.
Solved
Show answers
More tips
- C Computers and Internet How to Download Videos from YouTube? Simple Steps to Download Any Content...
- S Style and Beauty Tricks and Tips: How to Get Rid of Freckles...
- H Health and Medicine How to perform artificial respiration?...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- F Food and Cooking The Disease That Haunted Abraham Lincoln...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- S Style and Beauty How are artificial nails removed?...
- F Family and Home How to Sew Curtain Tapes: Best Tips from Professionals...
- H Horoscopes, Magic, Divination How to Cast a Love Spell on a Guy? Guide for Guys...
- F Family and Home How to Properly Use a Water Level?...
Answers on questions: Mathematics
- M Mathematics Melanie s bedroom floor has length equal to 6x + 5 and width equal to 9x - 4. What equation represents the area of the floor? *...
- M Mathematics Factor the polynomial: ab −3b+b^2−3a...
- S Spanish Geo means what? And Graphein means what?...
- E Engineering Ignorance: noun the condition of living without the benefit of education at some level the making of disparaging comments toward someone a lack of the mental capacity...
- M Mathematics What is f(g(x)) if f(x)= 4x²+3x-4 and g(x)=2x...
Ответ:
Indonesia has the highest Population Density (1045.7935 people per Km square)
Ghana has the least Population Density (77.20611 people per Kilometre Square)
Step-by-step explanation:
Population density is the per unit value of People living in a particular geographical area to the land mass.
Population density = Total Population / Land mass per square
Indonesia =203,479,000/1,904,569
=1045.7935people per Km square
Denmark= 5,248,000/42,077
=124.7237 people per Kilometre Square
Ghana=18,339,000/237,533
=77.20611 people per Kilometre Square