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
Find the value of c so that the polynomial p(×) is divisible by (x-4). p(×)=cx^3-15x-68​
Dvinal [7]

Answer:

Step-by-step explanation:

x-4=0

x=4

p(x)=cx^3-15x-68=0

p(x)=c(4)^3-15(4)-68=0

p(x)=64c-60+68=0

p(x)=64c+8=0

p(x)=64c=-8

p(x)=c=-8/64

p(x)=c=-1/8

7 0
3 years ago
Hey, do you mind helping me?<br><br><br> what are the roots of x in -10x + 12x - 9 = 0?
Alex73 [517]

Answer:

x=−6±3√5

Step-by-step explanation:

3 0
3 years ago
12) g = xy/c , for x
Paladinen [302]

Answer:

c=xy/g happy to help ya:)

Step-by-step explanation:

6 0
2 years ago
The expression below describes the number of organisms in a population of bacteria
In-s [12.5K]

Answer:

The answer is the length of time in one time interval

3 0
2 years ago
C. 3x-7=2x-5 solve for x, simplify
igomit [66]

3x - 7 = 2x - 5<em>     add 7 to both sides</em>

3x = 2x + 2         <em>subtract 2x from borh sides</em>

<h3>x = 2</h3>

Check:

L = 3(2) - 7 = 6 - 7 = -1

R = 2(2) - 5 = 4 - 5 = -1

L = R  CORRECT! :)

4 0
2 years ago
Read 2 more answers
Other questions:
  • Consider this population data set:4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. The values 11, 31, 22, and 12 constitute a ra
    8·1 answer
  • Given the similar figures name all pairs of corresponding sides and angles​
    5·1 answer
  • The life of an electric component has an exponential distribution with a mean of 8 years. What is the probability that a randoml
    11·1 answer
  • What is 300 divided by 7
    6·2 answers
  • B) Find the value of 2a2 + 5b2 when a = -6 and b = 2
    14·2 answers
  • What is the perimeter of the triangle?
    15·2 answers
  • The equation shown has an unknown number. Write a fraction that makes the equation true.
    5·1 answer
  • On a map, Sacramento is 8 cm from San Francisco. This represents an actual distance of 91 miles. On the same map, Sacramento is
    7·1 answer
  • As an improper fraction simplified
    15·2 answers
  • According to the table below, which of these is a possible taxable income for
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!