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
Lunna [17]
3 years ago
6

in the final event of a track meet, 6 runners run a 100 meter dash. A) How many possible arrangements are there for the medal wi

nners (gold, silver and bronze)? B) state whether it is a combination or permutation
Mathematics
2 answers:
madreJ [45]3 years ago
4 0

Answer:

120 possible arrangements.

It is a permutation

Step-by-step explanation:

Imagine that you are going to give the gold medal to any of the 6 runners. There would be 6 possibilities; now, imagine that you are going to give the gold and the silver medals random in the same way: you could give the gold medal to a person and you would have 5 possibilities to give the silver medal (you can't give both medals to the same person). So, note that for each possibility to give the gold medal there would be 5 possibilities to give the silver one.

Analogously, if you give the three medals random and supposing that you have already given the gold one, for each possibility to give the silver medal you would have 4 possibilities to give the bronze one. That is the reason for the calculation to be a multiplication:

N= Total number possibilities:

N=6*5*4=120

This also can be seen as a permutation. A permutation is a reorganization of elements where the order matters. In this case, it is not just relevant who are the winners (who receive the medal), but their order. A combination just helps us to make groups without taking in mind the order, but the permutation does consider that.

The permutation can be learnt by the formula:

N=\frac{p!}{(p-n)!}

where p is the total ef elements and n is the amount of elements of each subgroup that I want to built. In this case, our population 'p'=6, and we want to organize them in groups of 3 (n=3) where it is important for us the order:

N=\frac{6!}{(6-3)!}=6*5*4=120

ohaa [14]3 years ago
3 0
6 runners, 3 medals, how many ways to give them? well, runner say 2 could get gold or not, bronze or not and silver or not, and so can any other runnner, and the order "does matter", it makes a distinction, thus, is a Permutation

\bf _nP_r=\cfrac{n!}{(n-r)!}\qquad \qquad _6P_3=\cfrac{6!}{(6-3)!}
You might be interested in
Given that F(x) = x 2 + 2, evaluate F(1) + F(5) <br> which is the answer? 38 30 15
Valentin [98]

your answer is 30

1^2 (raised to the power of 2) +2 is 3

5^2 +2 is 27

5^2=25

1^2=1

add 27+3=30

6 0
3 years ago
What is the exact value of x? 5⋅21^5x=16
IRINA_888 [86]

Answer:

x=  16 /20420505

Step-by-step explanation:

Let's solve your equation step-by-step.

5(215)x=16

Step 1: Simplify both sides of the equation.

20420505x=16

Step 2: Divide both sides by 20420505.

20420505x /20420505  =  16 /20420505

x=  16 /20420505

4 0
2 years ago
Translate and solve: <br> Six more than twice a<br> number is atleast -8
pantera1 [17]

Answer:

x > -7

Step-by-step explanation:

Step 1: Translate

Twice a number = 2x

Six more = + 6

At least = >

-8 = -8

Step 2: Write out inequality

2x + 6 > -8

Step 3: Solve

2x > - 14

x > -7

4 0
3 years ago
I need help with solving this
leva [86]

Answer:

49

Step-by-step explanation:

Positive 49 not -49

3 0
3 years ago
Mr Gordon bought 2 1/2 pounds of apples 1.25 pounds of pears and 3 3/4 pounds of oranges to his sister on the way home . How man
Anton [14]
The answer would be 7.5 pounds of fruit.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Determine whether ​(7​,9​) is a solution of 7x+2y= −7.
    10·1 answer
  • For every two boys there are 4 girls do you agree with this statement explain
    11·1 answer
  • Could someone answer 13? Thank you.!
    8·1 answer
  • 8. Jerry Stevens wants to know how long it will take $1,100 to amount to $1,750 at a simple interest rate of 8 1/2%. Could you h
    11·1 answer
  • A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs 4, and each
    5·1 answer
  • Polly made a pinata for her sister's birthday party and wants to fill it with candy. If
    15·1 answer
  • What is the length of the hypotenuse?​
    8·1 answer
  • 2. Cameron worked 8 hours at the coffee shop. He earned the same amount in tips and wages each hour. At the end of his shift, Ca
    11·1 answer
  • HELPPPP PLSSS!!! Find the distance between the points (-16, -10) and (6, -10). 20% 16 12 8 4 X -16 -20 -12 -8 -4 4 8 12 20 16 -4
    7·1 answer
  • An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. If (h) represents hours, how much will the mechanic ch
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!