00:01
Hello, so here it has been given that the homeowners association is deciding a new set of neighborhood standards for the architecture, yard management, etc.
00:11
Four options have been proposed.
00:14
The votes are.
00:15
So these are the given votes that has been given in the question this table.
00:20
And we need to find the winner under the copeland method and then write the winners in the alphabetical order without the comma.
00:29
Okay so basically first of all we need to calculate who will win and finally then we will write the name of the winner okay now to find that using copeland method let us see how to do that so here we'll now we'll see one we'll take one by one uh pairs of each members like a b c d basically there are a b c and d four members and we need to decide the winner among these four and so let us take the pair of pair one by one so first of all we'll take a versus b okay this is our first now we'll see who is winner among a and b so first of all when you will write the vote of a and now you will write the vote of b so when you will just see the eighth column eight column okay you will see that b is before a so we'll write eight in front of now when you will write nine you will see nine column you will see that a is before b is the first choice b is the fourth choice so we'll write nine here and now we'll add now in the 11th column we'll see that b is before a so 11 would come here now in the seventh column we'll see a is before seven is before b so here sorry here it will come 7 okay now we are done we are done till 7 now when you will see the this again 7th column you will see that b is before a so again 7 would come here and last but not the least you will see that in the 5th column a in the 5 number of votes in which it is 5 is before v so 5 would come here so finally it would be equal to 7 plus 5 12 plus 9 which would be equal to 21 and here 11 plus 7 plus 7 plus 7 which is 18 and 18 press 8 which is 26 so 26 is greater than 21 so that means here b will win so b will get one point here okay now we'll see a versus c okay so first of all we'll write a and then we'll write c let us erase these these stick marks so that we can use that again now in the first column c is before a so 8 will come here in the second column is before c so 9 will come here okay in the third column c's before a so 11 would come here in the fourth column a's before c so seven would come here okay in the in the fifth seventh in the column which has number of words which is seven here is coming before c so again we would have seven here okay just a second now in the last column c is before a, so of course 5 will come here.
03:30
So finally we have our votes for a would be equal to 31.
03:36
7 plus 7 14 plus 14 plus 9 which would be equal to 23 and this is 11 plus 8, 19 plus 5 which is 24.
03:47
So c will win.
03:48
Here c will win.
03:50
Now in the same way we'll compare a versus d.
03:54
Okay so now when you will see you will see that a will get the total votes as a and here it is d so here a will get the total votes as eight plus nine plus seven plus seven and uh d will get as 11 plus 5 which is equal to 16 and 7 14 plus 9 which is 23 and 23 plus 8 which is 31 okay so finally it will get 31 votes so here will again a will win okay now let's compare a now let's compare b okay so already we have compared b with a so let's compare b with c so here when you will check you will get that we will get total 8 plus 11 plus 7 plus 7 okay 8 plus 11 plus 7 plus 7 and d will get total 9 plus 5 so clearly b has greater votes so b will win okay b wins now let's calculate for b versus d.
04:58
So when you will calculate, you will get finally the votes of b as 8 plus 7 plus 7, which is 22.
05:07
And for d as 9 plus 11 plus 5, okay, which is equal to 25.
05:14
So basically now again, sorry, d will win.
05:19
So d will win.
05:21
Now let's calculate for c versus d because we have already calculated for c.
05:25
Versus a and c versus b.
05:28
So let's calculate for c versus d.
05:31
So for c and d, so for c you will get the final votes as 8 plus 7 plus 5 which is equal to 20 votes.
05:39
Okay.
05:40
And for d you will finally get 3 plus 11 plus 7 which is 27 votes...