![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 25.02.2021 18:10, malenacastillo4887
Consider a tournament of n contestants in which the outcome is an ordering of these contestants, with ties allowed. That is, the outcome partitions the players into groups, with the first group consisting of the players that tied for first place, the next group being those that tied for the next-best position, and so on. Let N(n) denote the number of different possible outcomes. For instance, N(2)=3, since, in a tournament with 2 contestants, player 1 could be uniquely first, player 2 could be uniquely first, or they could tie for first.
(a) List all the possible outcomes when n=3.
(b) With N(0) defined to equal 1, argue, without any computations, that
N(n)=āi=1n(n i)N(nāi)
Hint: How many outcomes are there in which i players tie for last place?
(c) Show that the formula of part (b) is equivalent to the following:
N(n)=āi=0nā1(n i)N(i)
(d) Use the recursion to find N(3) and N(4).
![answer](/tpl/images/cats/otvet.png)
Answers: 3
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
![image](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 00:20, mya1318
Match the following reasons with the statements given to create the proof. 1. do = ob, ao = oc sas 2. doc = aob given 3. triangle cod congruent to triangle aob vertical angles are equal. 4. 1 = 2, ab = dc if two sides = and ||, then a parallelogram. 5. ab||dc if alternate interior angles =, then lines parallel. 6. abcd is a parallelogram cpcte
Answers: 2
![image](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 01:30, tingzontumbler8412
Find the vertex for the parabola given by the function Ę(x) = ā3x2 ā 6x.
Answers: 2
![image](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 02:50, QueenNerdy889
Atourist boat is used for sightseeing in a nearby river. the boat travels 2.4 miles downstream and in the same amount of time, it travels 1.8 miles upstream. if the boat travels at an average speed of 21 miles per hour in the still water, find the current of the river.
Answers: 2
Do you know the correct answer?
Consider a tournament of n contestants in which the outcome is an ordering of these contestants, wit...
Questions in other subjects:
![Konu](/tpl/images/cats/informatica.png)
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 20.10.2020 01:01
![Konu](/tpl/images/cats/mat.png)
Mathematics, 20.10.2020 01:01
![Konu](/tpl/images/cats/es.png)
![Konu](/tpl/images/cats/istoriya.png)
![Konu](/tpl/images/cats/en.png)
![Konu](/tpl/images/cats/en.png)
![Konu](/tpl/images/cats/himiya.png)