1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
e-lub [12.9K]
3 years ago
10

There were 23 students running in a race. How many different arrangements of first, second, and third place are possible?

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.

You might be interested in
How to do this question plz ​
bixtya [17]

252mmSquared

Step-by-step explanation:

28+28=56

74-56=18

18÷2=9

9×28=252

7 0
3 years ago
Read 2 more answers
What is the probality that there will be 5 Saturday's in the month of May​
goblinko [34]

Answer:

4/31

Step-by-step explanation:

Im.not too sure about the answer but i think its that

3 0
3 years ago
Read 2 more answers
There are 3 seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat costs $74. What is the
Akimi4 [234]

3 seats x 15 rows = 45 total seats

45 seats x $74 = $3,330.00 total cost
6 0
3 years ago
Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among
Olegator [25]

Answer:

a) X[bar]₁=  1839.20 cal

b) X[bar]₂= 1779.07 cal

c) S₁= 386.35 cal

Step-by-step explanation:

Hello!

You have two independent samples,

Sample 1: n₁= 15 children that did not eat fast food.

Sample 2: n₂= 15 children that ate fast food.

The study variables are:

X₁: Calorie consumption of a kid that does not eat fast food in one day.

X₂: Calorie consumprion of a kid that eats fast food in one day.

a)

The point estimate of the population mean is the sample mean

X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal

b)

X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal

c)

To calculate the sample standard deiation, you have to calculate the sample variance first:

S₁²= \frac{1}{n_1-1}[∑X₁² - (( ∑X₁)²/n₁)]= \frac{1}{14} + [52829538 - (\frac{27588^{2} }{15}) = 149263.4571 cal²

S₁= 386.35 cal

I hope it helps!

7 0
3 years ago
Find the Value of ‘X’ please due in 10 minutes
BigorU [14]

Answer:

im guessing this is maybe a dilation of some sort?? so im guessing its 11

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • The sum of two numbers is 70. one number is 8 more than the other. what's the smaller number?
    12·1 answer
  • What 18x+90=180 i have to solve like a equation
    13·2 answers
  • ??math question?? graph
    12·2 answers
  • What is the equation of the graph below?
    7·1 answer
  • Choose the polynomial that is written in standard form.
    15·2 answers
  • Factor this expression completely.<br> 6x^2- 13x - 28
    13·2 answers
  • Pls pls pls help me i do not get
    5·1 answer
  • What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12
    9·1 answer
  • What is 9038 x 8389<br> if u answer ill give u a crown thing
    7·2 answers
  • What is the product of 5x²y+3xy³
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!