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 6 runners finish a race?
There are
720 possible
results.
How many ways can the runners finish first second and third?
Thus there are
117,600 ways
the runners finish first, second and third.
How many different ways can a race with 7 runners be completed?
There are
210 different ways
these seven runners could take first, second, and third place in the race.
How many ways can 8 runners finish in 1st 2nd or 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
.
How many different ways can you have a 1st 2nd 3rd and 4th place finisher with 15 runners?
How many different ways can you have a 1st 2nd 3rd and 4th place finisher with 15 runners? And for 4th place, you can have any one of the 12 runners who haven’t finished finish there. So, you take all of the possibilities, and times them together, 15*14*13*12 =
37,260 different possibilities
.
How many ways can 12 runners in a race finish first second and a third?
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 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 the race be finished 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
How many different ways can they finish the race?
There are
720 possible results
.
How many different ways can 8 players finish a race if there are no ties?
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 first second and third place be awarded to 7 contestants?
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 many ways can a club select a president a vice president and a secretary from a group of 5 people?
Initially, there are 30 people to pick as president. After you pick the president, there are now 29 people that can be picked as VP. After you pick the VP, there are now 28 people that you can pick for secretary. That give 30*29*28 or
24,360 possible choices
.
How many ways can 5 students line up for a picture?
So the total number of different orderings for the 1st, 2nd and 3rd people combined would be 5*4*3 =
60
.
How many ways can 6 different horses finish in 1st 2nd and 3rd place?
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 13 students line up for lunch?
Overall, it looks like 9x8x7x6x5x4x3x2x1, or
362,880 ways
of arranging the people.
