How many ways can 10 horses come in first second and third?

P = 10! 7! There are 720 different outcomes possible in the race.

How many possibilities are there for the first second and third place in a horse race with 12 horses if all orders are possible?

So unequal is 12 and r equals three. Our definition of permutation is when we consider the order, but it’s important it’s in factorial over in factorial over and minus R factorial, we just plug in for 12 Common three. This gives us 12 factorial over 12 minus three factorial. This gives us 1320 possibilities.

How many ways are there for a horse race with four horses?

Hence, counting ties, four horses can cross the finishing line in 1 + 14 + 36 + 24 = 75 ways.

How many ways can 8 horses line up for a race?

How many ways can 8 horses place first, second, and third place? For our horse race situation, we would take 8 horses and place 3, like this. There are 336 ways to have 8 horses place for 1st, 2nd, and 3rd place. The work above demonstrates how one can simplify the problem using the permutation formula.

How many different ways can a race with 7 runners be completed assume there is no tie?

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. I did this because there are 7 runners that can get first, after one finishes there are 6 that are able to get second, and 5 to get third.

How many horses are in a horse race?

Churchill Downs makes more money on the races by having 20 horses in the race than by having 14 horses in the race,” West said.

How many possible ways can a 8 horse race finish in first second and third place?

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

How many ways can 6 people win 1st 2nd and 3rd in a race?

There are 720 possible results.

How many ways are there for a horse race with three horses?

All that remains is the 1 situation where all three horses tie for first. Thus, in total there are 6 + 3 + 3 + 1 = 13 different outcomes.

How many possible combinations are there in a race with 10 horses?

Therefore, there are 720 possible permutations in a race with 10 horses. 120 x 3 = 360 number spaces, shared equally between the 10 horses = 36. Therefore 36 of the 120 combinations contain the selected horse.

How many horses come first in the race?

Any of the 12 horses can come first. Given the identity of the horse that comes first, the horse that comes second can be any of the remaining 11 horses. Given the identity of the horse that comes second, the horse that comes third can be any of the remaining 10 horses.

How many ways can a third runner finish the race?

There can be only 1 way to finish the race. Now, there is a 2nd runner added to the race. He can occupy either 1st or 2nd place. So, there can be 1*2 = 2 ways to finish the race. Now, there is a 3rd runner added to the race. He can occupy either 1st or 2nd or 3rd place.

How many permutations are there in a horse race?

There are 120 combinations formed by 10 horses in a race. In Australia, this is an always or boxed bet, where the correct finishing order is not required. Each boxed set of three numbers will create 6 permutations. Permutations are numbers arranged in a specific order.