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
harkovskaia [24]
3 years ago
9

Eight swimmers participate in a race in how many ways can the swimmers finish in first second and third place an it be answered

using combinations or permutations
Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

336

Step-by-step explanation:

To define whether we use permutations or combinations we must define whether or not the order in which we arrange the results matters. If the order matters we use permutations and if the order doesn't matter we use combinations.

In this case, since we are talking about the first places in a competition, order definitely does matter, so we use permutations. Also in permutations it must be indicated if repetition is allowed, in this case not because the same person cannot be in more than one place.

We use the following formula:

P=\frac{n!}{(n-r)!}

where in this case n is the numer of swimmers and r is the number of places we are considering (1st 2nd and 3rd), which is 3 places.

n = 8

and

r = 3

thus the number of permutations is given bt:

P=\frac{8!}{(8-3)!}\\ \\P=\frac{8!}{5!} \\\\P=\frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\\ \\P=8*7*6\\P=336

the answer is that there are 336 ways in which the swimmers can finish in first second and third place

You might be interested in
Dan had 7 dimes in his bank his dad gave him 9 more dimes how many dimes does Dan have now
timofeeve [1]

Answer:

16 dimes

Step-by-step explanation:

He already has 7, and got 9 more, so we can add 7 and 9

7+9 =16

So, Dan has 16 dimes now

Hope this helps! :)

3 0
3 years ago
A jewelry store is selling a set of 4 pairs of gemstone earrings for $58, including tax. Neva and three of her friends want to b
Mnenie [13.5K]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
The  solve a multiplication equation to find out how much each person should pay. is <span>4g=$58, g=$14.50</span>

4 0
3 years ago
F(1) = 1<br><br> f(2) = 2<br><br> f(n) = f(n − 2) + f(n − 1)<br><br> f(3)
sweet [91]

Answer:

f(3) = 3

Step-by-step explanation:

f(1) = 1

   

f(2) = 2

f(n) = f(n − 2) + f(n − 1)

f(3) = f(3 - 2) + f(3 - 1)

     = f(1) + f(2) = 1 + 2 = 3

Special Note:  Have you heard of the Fibonacci sequence?  

The formula f(n) = f(n − 2) + f(n − 1) is used to find the terms of the of the  Fibonacci sequence

8 0
3 years ago
I am in confusion ❤️
muminat

Answer:

The Brain

Step-by-step explanation:

It goes down 3 and moves to the right 2

so its -3/2 =- 1.5

you slope is -1.5❤✔ hope I helped!

5 0
3 years ago
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R
Reika [66]

9514 1404 393

Answer:

  • 0 ≤ m ≤ 7
  • 0.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

<u>Part A</u>:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

<u>Part B</u>:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

<u>Part C</u>:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

3 0
2 years ago
Other questions:
  • Iana started to evaluate the function f(x) = 2x2 – 3x + 7 for the input value 2.
    14·2 answers
  • Find the value of
    7·1 answer
  • A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles. What is the probability that you choose a red marble and
    6·1 answer
  • David has 4 cars after 2 years he has 6 cars how many cars does he purchase per year
    14·2 answers
  • Brenda bought a coat for $20. She also paid $1.50 in tax. What kind of tax did Brenda pay on the coat?
    13·1 answer
  • A box contains 17 ​transistors, 3 of which are defective. If 3 are selected at​ random, find the probability that
    8·2 answers
  • (√2+√3)² + (√5+√2)²
    15·2 answers
  • Need help in solving this area of the shape attached
    15·1 answer
  • Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.
    9·1 answer
  • PLS HELP ASAP. 60 PTS. SORRY I COULDN’T DO MORE
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!