How many different ways can 6 runners finish 1st 2nd or 3rd?

How many different ways can 6 runners finish 1st 2nd or 3rd?

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

Thus we can find that there are: 10 • 9 • 8 = 720 possible first, second, and third place combinations.

How many different ways can a 1st 2nd and 3rd place winner finish a race if there are 10 runners?

There are 720 different outcomes possible in the race.

How many ways can five runners finish 1st 2nd or 3rd?

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 ways can 5 runners finish place in the race?

120 different ways

How many ways can the race be finished?

There are 720 possible results.

How many possible race results if there are no ties?

First count the number of ways if there are no ties. In this case any one of the 3 horses could finish first and, once you know who is first, the other two hourses can finish second and third or third and second. Hence there are 3 2 = 6 different ways the hourses can finish if there are no ties.

How many ways can 4 people finish a race?

That’s 4! (faculty), ie., 4x3x2x1 = 24.

How many ways can 8 horses finish a race?

For example, if all horses finish in a different place, then the number of ways the horses can finish is simply 8! = 40320.

How many ways can 8 Runners Win 1st 2nd and 3rd places?

There are 336 ways to have 8 horses place for 1st, 2nd, and 3rd place.

How many different ways can 8 runners come in 1st 2nd and 3rd place?

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. When I checked the memo, it said the answer was 336.

How many ways can 9 runners finish a race?

So, there can be 1*2*3*4*5*6 = 720 ways to finish the race.

How many different ways can a race with 7 runners be completed?

If there are 7 runners in a race, how many different orderings of 1st, 2nd, and 3rd place can there be? I did 7*6*5 to get 210.

How do you calculate 12c4?

where n is the number of items and r is the unique arrangements.

1. Plugging in our numbers of n = 12 and r = 4, we get:
2. Calculate the numerator n!:
3. Calculate the first denominator (n – r)!:
4. Calculate the second denominator r!:
5. Calculate our combination value nCr for n = 12 and r = 4:

What is a permutation formula?

Formula and Calculation of Permutation The formula for a permutation is: P(n,r) = n! / (n-r)! where. n = total items in the set; r = items taken for the permutation; “!”

Is a race a permutation?

The easiest way to remember the difference between combinations and permutations is that for permutations, order matters, and for combinations, order does not matter. Since, when you are runing in a race, it matters what order you come in, you would be using permutations.

How many ways can 6 people finish in a race?

6. If six people (A,B,C,D,E,F) people run, there are 6*5*4*3*2*1 ways to finish.