There are eight runners in the 100-meter dash. In how many ways can the runners finish in first, second, and third place?

Mathematics

2 answers:

NISA [10]3 years ago

8 0

Answer: 336

Step-by-step explanation:

Given : The total number of runners = 8

The number of positions = 3

Since for awarding prize, the order of winners matters.

So by permutations ,the number of possible ways to award 3 prizes will be

$^8P_3=\dfrac{8!}{(8-3)!}=8\times7\times6=336$

Therefore , the total number of ways by which runners finish in first, second, and third place is 336.

Inessa [10]3 years ago

3 0

Answer is below.......

You might be interested in

A bolt has 16-1/2 turns per inch. How many bolts would be in 2-1/2 inches?

ohaa [14]

Answer:

41 1/4

Step-by-step explanation:

Change 16 1/2 to a mixed number

16 1/2 = (2*16+1)/2 = 33/2

Change 2 1/2 to a mixed number = (2*2+1)/2 = 5/2

Multiply the turns per inch by the inches

33/2 * 5/2 =165/4

Change this back to a mixed number

4 goes into 165 41 times

41*4 = 164 there is 1 left over

41 1/4

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! (ii only)

mixer [17]

The equation of the tangent line can be found using slope formula and fact that slope = dy/dx.

$\frac{dy}{dx} = \frac{y - y_0}{x - x_0}$

where (x0,y0) is point A ---> (0,-1)

Then rearrange equation into slope-intercept form:
$y = \frac{dy}{dx}(x - 0) -1$

Finally sub in x=0 into dy/dx to get slope at the point (0,-1)

$y = 3x -1$