How many different ways can these runners finish the race 1st 2nd and 3rd?

1 Expert Answer Likewise, there are only 3 runners left who can come in third place. You want to then multiply 5*4*3 to represent the different combinations we can make for each place. This gives us a total of 60 different possible ways that the runners can come in 1st, 2nd, and 3rd place, assuming no ties.

How many different ways can runners in a race be awarded 1st 2nd and 3rd place out of 15 participants?

There are 720 different outcomes possible in the race.

How many ways can 6 runners finish in 1st 2nd and 3rd place?

There are 720 possible results.

How many different results are possible for first second and third place in a race that has 8 entrants?

8 Athletes run a race and no two athletes finish exactly together. What is the number of different possible results for the first, second and third positions? I said that the answer is simply 8 choose 3, which gives an answer of 56.

How many ways can 9 runners finish in first second and third place?

1 Expert Answer In the second spot, we can have 8 different individuals because we have one less individuals from choosing one for the first spot. And lastly, we have 7 individuals for the third spot because we would have chosen two already from the first two spots. Thus, we get: 9 X 8 X 7 = 504.

How many ways can 4 runners can win first second and third places?

10 • 9 • 8 = 720 possible first, second, and third place combinations.

How many ways can 6 different horses finish in 1st 2nd and 3rd place at the Santa Maria Handicap race?

Now, there is a 6th runner added to the race. He can occupy either 1st or 2nd or 3rd or 4th or 5th or 6th place. So, there can be 1*2*3*4*5*6 = 720 ways to finish the race.

How many ways can 9 runners finish a race?

Thus, we get: 9 X 8 X 7 = 504. Order does matter so we don’t have to account for duplication being made if they asked about a group.

How many different ways can 12 runners win first second and third places?

Given the identity of the horse that comes second, the horse that comes third can be any of the remaining 10 horses. So the number of different ways in which 1st, 2nd and 3rd can occur is 12 x 11 x 10 = 1,320.

How many ways can first second and third places be awarded in the final race among 10 athletes?

= 720 different possible ways the 3 prizes are awarded.

How many ways can first and second place be awarded to 9 racers?

10 • 9 • 8 = 720 possible first, second, and third place combinations. This is called a permutation problem.

How many different ways can you have 1st 2nd 3rd and 4th place in a race with 6 runners?

He can occupy either 1st or 2nd or 3rd or 4th or 5th or 6th place. So, there can be 1*2*3*4*5*6 = 720 ways to finish the race.

How many runners can possibly come in first?

This answer is clear. Any of the ten can win, so there are ten runners that can possibly come in first.

How many runners can you have in a 5K?

You have 15 runners, and you’re choosing 4 of them, order mattering. So, let’s look at this logically. For first place, you can any one of the 15 runners finish there. For 2nd place, you can have any one of the remaining 14 runners finish there.

How many runners would it take to arrange 3 winners?

But if the three prizes were identical, it wouldn’t matter which prize went to a winner; that would be combinations. In the latter case you would take Varun’s calculation and divide by the number of ways 3 winners can be arranged, which is 3*2*1 or 6. And the answer would be 2730 / 6 or 455. Ten runners join a race.

How many people can be second in a race?

Well, there are still 9 runners left, and any one of hem could be second. Answer 9. How many can be third? Using the same idea as above, once one person is first and another is is second, that leaves 8 people still running and trying for third.