How many ways are there for 15 track runners to win 1st place, 2nd place and 3rd place?

Mathematics

1 answer:

Mkey [24]3 years ago

6 0

Answer:

2730 ways.

Step-by-step explanation:

There are 3 positions to be filled by the 15 runners.

For 1st place, we can fill this position in 15 ways.

After filling 1st place remaining runners = 14

Number 2 place can be filled by remaining 14 runners.

So, the 2nd place can be filled by 14 ways.

Again, after filling 2nd place remaining runners are 13.

Therefore, 3rd place can be filled by 13 ways.

Total number of ways to fill all three places = 15 × 14 × 13

= 2730 ways

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Solve the following inequalities graphically on the set of axes below state the coordinates of a point in the solution set

kakasveta [241]

Answer:

A solution point is (2,2)

Step-by-step explanation:

Graph the lines. If it is just greater that or less than, use dashed lines. I fits greater than or equal too, or other symbols like that, use a solid line

Use the test point (0,0). If it satisfies the inequality, shade the side of the graph with that point (you can use any test point, not just (0,0)). If it doesn't satisfy, then shade the other side

The Shaded area shared by both lines is the area of the solution