=
5040
. Nine horses are running in a race.
How many ways can 8 horses finish a race?
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 ways can 10 people finish a race?
7! There are
720 different outcomes possible
in the race.
How many ways can 6 horses finish a race?
There are
720 possible
results.
How many ways can 12 horses finish a race?
Since only one person can finish in first place, one in second, etc., the total number of placers is 12x11x10, or
1320 different ways
the 12 racers can finish 1st, 2nd and 3rd….
How many ways can 6 runners finish in 1st 2nd and 3rd 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 ways can 7 runners finish a race?
The answer is
210
. There are 210 different ways these seven runners could take first, second, and third place in the race.
How many different orders can five runners finish a race if no ties?
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 are there for a horse race with four horses to finish if ties are possible?
Hence, counting ties, four horses can cross the finishing line in 1 + 14 + 36 + 24 =
75 ways
.
How many different ways can they finish the race?
There are
720 possible results
.
How many different ways can you have 1st 2nd 3rd and 4th in a race with 12 runners?
7! There are
720 different outcomes
possible in the race.
How many ways can they finish 1st 2nd or 3rd?
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 trifecta combinations can you have with 24 horses?
How many horses do I need? The possible number of combinations for the trifecta in the Melbourne Cup in a full field of 24 is
12,144
.
How do you finish a race?
- Practice finishing fast and strong. …
- Improve your physical and mental toughness. …
- Do some hill running. …
- Increase your strength and power. …
- Find your next gear. …
- Don’t start out your races too fast. …
- Talk to yourself. …
- Focus on picking off other runners.
How many possible combinations of 3 items from a group of 5 are possible?
So 5 choose 3 =
10 possible combinations
. However, there’s a shortcut to finding 5 choose 3. The combinations formula is: nCr = n! / ((n – r)!
What is a permutation vs combination?
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a
combination when order is not a factor
.
