Ten field hockey teams are competing in a tournament. Only the top three teams will be recognized as the first place, second place and third place winners. In how many ways could the ranking of the top three teams occur?

Answers

Answer 1

Answer:

The ranking of the top three teams could occur in 720 ways.

Step-by-step explanation:

The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In how many ways could the ranking of the top three teams occur?

Three teams from a set of 10. So

[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]

The ranking of the top three teams could occur in 720 ways.


Related Questions

Given X=[b a 4 a], Y=[c d a b], and Z=[a c 16 b]. What is Y if x-2y=z?

Answers

Answer:

A

[2, -4, -6, -2]

Step-by-step explanation:

What is the least amount of green ooze any one contestant carried? ​

Answers

Answer:

Step-by-step explanation:

Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:

0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:

0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.

Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.

A 45 foot ladder is set against the side of a house so that it reaches up 27 feet. If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

22.4

Step-by-step explanation:

delta math

Answer:22.4

Step-by-step explanation:

Help pleaseeeeeeeeeeeee

Answers

Answer:

option first is the right answer

The first one is the answer

HELP PLEASE 15 POINTS

Answers

The answer is c hopefully it helps you

Determine the coordinates of the point shown. 5 4 3 2- 0 -5 4 -3 -2 -1 0 2. 3 4 5 -2- -3 O (1.5, -0.5) O(-0.5, 1.5)​

Answers

Answer:

Hi! The answer to your question is (3,0) Or just 3

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

[tex] \boxed{(1.5, \: -0.5)} [/tex]

Evaluate the expression for r = 2.

17 + r =

Answers

17+r= 19 because you replace r with 2 since r equals too and you get 19

If f(x) = 3x + 2 and g(x) = -x^2 + 1, which is f(g(x))?

Answers

Answer:

-3x^2+5

Step-by-step explanation:

f(g(x)) = 3(g(x))+2 = 3(-x^2)+3+2 = -3x^2 +5

what is 8x9-6+7(5-4x8)

Answers

Answer:

8 x 9 − 28 x 8 + 29

Step-by-step explanation:

write an expression for b divided by 6



(please only real answers, I am already failing I don't need more bs)​

Answers

Answer:

Well divided by is basically he slash between the things so it would be

b/6

Step-by-step explanation:

÷ is basically (divided by) and whatever number comes first jsut write it like for example

10 divided by 4

10 / 4

Answer:

b/6

Step-by-step explanation:

dont you think thats a bit easy?  B divided by six, b ÷ 6,  b goes in the like box when u do long division and 6 is outside

the vertex of the parabola below is at the point (5,-3). which of the equations below could be the one for this parabola?

Answers

Answer: ty for the points

Step-by-step explanation:

x+-3(y+3)2+5

1. The number of Hamilton circuits in K15 is
A) 15!
B) 105
C) 14!
D) 15
E) None of these

Answers

Hamilton circuits in K15 have 14

Plz someone help me on these 2 questions!! I'm desperate :)

Answers

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

Is 16/36 the same value of 4/9?​

Answers

Answer:

Yes, 16/36 and 4/9 are equivalent fractions; the latter is the simplified form of the original fraction: 16/36.

Step-by-step explanation:

How many minutes are there between 15 minutes past 10 and 25 minutes to 11am?​

Answers

Answer:

20 minutes

Step-by-step explanation:

15 minutes past 10 is 10:15

25 minutes to 11 am is 10:35

(60-25=35)

35-15=20

luciana is adding water to a pool

Answers

Answer:

B

Step-by-step explanation:

It would be B because she is adding 9 gallons per minute so you will have to add that to the 12,000 gallons to get w.

the answer is B""""""""""

How many times bigger is 3 to the power of 15 compared to 3 to the power of 12?Explain your answer.

Answers

Answer: 3 to the power of 15 is 27 times bigger compared to 3 to the power of 12

Explanation:
3 to the power of 15 = 14348907
3 to the power of 12 = 531441

14348907 divided by 531441 = 27

Assuming y>0, which of the following expressions is equivalent to 8√18y^2−5√50y^2
A. −y√2
B. 7y√3
C. 24y√3−25y√2
D. 2y√2

Answers

Answer:the answer is A

Step-by-step explanation:

what is 26 x4 hurry ii need it nowwwww

Answers

104

6 x 4 = 24
20 x 4 = 80

80 + 24 = 104.

BOOM MAGIC

the answer is 104 hope it helps

A student claims that 3√80 is in the simplest radical form. Which statement is true?
A. The claim is correct because 80 is not divisible by three.
B. The claim is correct because 80 is not a perfect cube.
C. The claim is incorrect because 80 has a factor of 4.
D. The claim is incorrect because 80 has a factor of 8.
Don't put a link as the answer.

Answers

Answer:

C)

Step-by-step explanation:

3[tex]\sqrt{80}[/tex] = 3 · [tex]\sqrt{4}[/tex]· [tex]\sqrt{4}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to 12[tex]\sqrt{5}[/tex]

Question is down in the image

Answers

Answer:

It is (33.3) [Last one]

Step-by-step explanation:

I hope that is useful for you :)

This equation is basically 35.6 -2.3, you just reverse the numbers

35.6

-  2.3

33.3

The answer is D

what is the area of the figure at the right 14cm 16cm 20cm 38cm

Answers

Answer:

170240

Step-by-step explanation:

Your answer for the question is 170240

please help me, i will mark brainliest
The seventh grade class is putting on a talent show to raise money for a class trip. It costs $500 to rent the banquet hall they are planning on using. If they charge $15 per ticket, how many tickets do they need to sell in order to raise at least $1000?
Part A
The variable in this problem will represent the number of:
A- students
B- tickets
C- parents
D- money
Part B
​Choose the correct inequality to represent the story problem:
A- 15x+500=1000
B- 15x-500≥1000
C- 15x+1000≥500
D- 15x-500≤1000
​ Part C
How many tickets do they need to sell? (Write your answer as an inequality)

Answers

Answer:

B-Tickets

B-15x-500≥1000

C-x≥100

Step-by-step explanation:

X is the variable because you need to find how many tickets need to be sold

The answer is B  because they need to raise $1000 or more

15x-500≥1000 (add 500 to both sides)

15x≥1500

x≥100

here's the question ​

Answers

Answer:

60

Step-by-step explanation:

perimeter (p) = 8 + 17 + 15 = 40

semi-perimeter (s) = p/2 = 20

Area = square root of s(s-a)(s-b)(s-c) where a,b,c are the sides of the triange by Herons formula.

Therefore, area = 20(20-8)(20-15)(20-17) = square root of 3600 = 60

find the area of the triangle
answer in digital format only ​

Answers

Answer:

33

Step-by-step explanation:

Assume that each cell on the grid represents one unit. One can use the formula, ([tex]A=\frac{(base)(hieght)}{2}[/tex]) to find the area of the triangle. One can see that the base of the triangle is, (11), and the height is (6). Substitute in the given values and solve for the area,

[tex]A=\frac{(11)*(6)}{2}[/tex]

[tex]A=\frac{66}{2}[/tex]

[tex]A=33[/tex]

Rotating the decagon by a multiple of ___ carries the decagon onto itself. Therefore, a rotation of ___ counterclockwise will carry the decagon onto itself. can reflect the decagon ___ different ways , including ____ ways using the lines of symmetry that pass through the midpoints of two opposite sides.
Which of the following the correct sequence to in the blanks above?

Answers

Answer: C

Step-by-step explanation:

i just did this problem and got it right

Decagon is a regular polygon with 10 sides. The correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5

What is a decagon?

A decagon is a regular polygon with 10 sides.

As shown in the diagram attached below, the angle between two line segments connecting center and two adjacent vertex is of 36°.

Since rotating the decagon by that angle will land it in an unidentifiable way, as it looks alike, thus, rotating the decagon by a multiple of __36°__ carries the decagon onto itself.

Therefore, a rotation of _36 degree or 72 degree or any multiple of 36 degree__ counterclockwise will carry the decagon onto itself.

If we connect one vertex to opposite one, and flip it on that connecting line(this flip is called reflection), then the decagon will look same as before reflection.Thera are 5 such different lines.

Now in addition, we can connect lines from mid point of 1 side to other opposite side too. And this also can be done in 5 ways. On these connecting lines too, the decagon can be reflected onto itself.

Thus, we can reflect the decagon _5+5=10_ different ways. (these are the only ways, and it can be proven mathematically).

And including __5__ ways using the lines of symmetry that pass through the midpoints of two opposite sides

Thus, the correct option that fills up the blanks is given by: Option C: 36°, 72°, 10, 5

Learn more about reflection symmetry here:

https://brainly.com/question/7783612

Nina and Luca were told to draw a net for the three-dimensional figure shown below. Which statement about the
students' nets is true?

Answers

where’s the statements?

Answer:

d

Step-by-step explanation:

The first sequence rule is multiply by 2 starting from 7. The second sequence rule is add 2 starting from 8. What is the first number that appears in both sequences?
Question 3 options:

10

14

18

28

Answers

The first and the second sequence are arithmetic and geometric sequence, respectively

The first number in both sequences is 14

How to determine the first number?

From the question, we have the following rules

Rule 1

Start = 7

Multiply by 2

Rule 2

Start = 8

Add = 2

So, the numbers in the sequence are:

Rule 1: 7, 14, 28, 56......

Rule 2: 8, 10, 12, 14, .....

By comparing the numbers in the sequence, we can see that the first number in both sequences is 14

Read more about sequence at:

https://brainly.com/question/6561461

What is 3-(-7)+11-(9)

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Just had to simplify the expression.

What is the mode of the data set ?
3,3,5,5,5,7,7,8,15,15

Answers

Answer:

5

Step-by-step explanation:

the mode is the number that appears most frequently on a data set.

Answer:

5

Step-by-step explanation:

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