How many ways can 12 runners finish 1st 2nd or 3rd?
So the number of different ways in which 1st, 2nd and 3rd can occur is 12 x 11 x 10 = 1,320.
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 places are in a 12 horse race?
Horse racing place terms
| Race type/runners | Odds | Places |
|---|---|---|
| Handicaps of 12-15 runners | 1/4 | 3 |
| All other races of more than 7 runners | 1/5 | 3 |
| All races of 5-7 runners | 1/4 | 2 |
| All races of less than 5 runners | – | win only |
How many ways can 6 people win 1st 2nd and 3rd in a race?
There are 720 possible results.
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 different ways can 1st 2nd and 3rd occur?
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 horses are competing for first place in the competition?
Therefore, there are 12 horses competing for first place, 11 competing for second place (since one has already won first place), and 10 competing for third place (since two out of the 12 have won first and second places). Multiply the three to get the number of ways.
How many different horses can finish in the win position?
12 different horses can finish in the WIN position, 1st. Then, there are now only 11 horses remaining to finish 2nd, in the PLACE position. Then only 10 other horses remain to be 3rd, to SHOW. Here is how you calculate that possible parimutuel ticket at the track, or betting races online, or planning tomorrow’s bets at home.