All categories

3 years ago

At a competition with 7 runners, 2 medals are awarded for first and second place.

Mathematics

1 answer:

murzikaleks [220]3 years ago

8 0

Answer: C) 42

There are 7 ways for the first place winner to be chosen. Once that position is locked up, there are 6 ways to have someone picked for second place (since that first place runner can't simultaneously be in both places at once)

So we have 7*6 = 42 different permutations.

The longer way to get this answer is to use the permutation formula as shown below

nPr = (n!)/(n-r)!

7P2 = (7!)/(7-2)!

7P2 = (7*6*5!)/(5!)

7P2 = 7*6 <---- note how this shows up, as we found earlier

7P2 = 42

Either way, the answer is 42

You might be interested in

What is the slope of the line that passes through the points (-3, -9)(−3,−9) and (22, -4) ?(22,−4)? Write your answer in simples

bezimeni [28]

Answer:

1/5

Step-by-step explanation:

Equation: $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Points: (-3, -9) and (22, -4)

$y_{2}$ is the second y point that shows up on the question, basically go by order. So it's -4

$y_{1}$ is -9, because again, in order of which coordinates pop-up first in the question

$x_{2}$ is 22, $x_{1}$ is -3

Now input into the equation, to make it easier we'll split the fraction into 2 equations:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ = $y_{2} - y_{1}$ and $x_{2} - x_{1}$ , we'll put them back in a fraction later

$y_{2} - y_{1}$ = -4 - (-9) = -4 + 9 = 5

$x_{2} - x_{1}$ = 22 - (-3) = 22 + 3 = 25

now put it in the fraction, remember y on top x on the bottom:

5/25, simplify, 1/5

4 0

3 years ago

Cuál es el promedió de edad

iren2701 [21]

Answer:

22 años

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Jasmine want to eat at 8pm .her meal takes 65min to cook.what rime does she need to put the meal inbthe oven.give in 24hours clo

Shkiper50 [21]

Eatin time is 8 pm....her meal takes 65 minutes to cook...well, 60 minutes is an hr...so that knocks it down to 7 pm....and then we take away the 5 minutes....so we put the food in the oven at 6:55 pm....oh...on a 24 hr clock...that's 18:55

7 0

4 years ago

8 black balls and 7 red balls in an urn. 5 are withdrawn without replacement. What is probability exactly 2 black balls will be

densk [106]

6 black balls to 4 red balls

6 0

3 years ago

This is urgent I need as much help as I can get. Answer as soon as you see it.

Ivenika [448]

Answer:

m< LMJ=119.6 degrees

Step-by-step explanation:

In parallel lines, m<LMO and m< LMJ are supplementary. So that means that they add up to 180 degrees. If , m<LMO is 60.4 degrees, m< LMJ would be 180 degrees minus 60.4 degrees which equals to 119.6 degrees.

8 0

4 years ago