How many ways can 9 runners finish a race?
Thus, we get: 9 X 8 X 7 = 504. Order does matter so we don’t have to account for duplication being made if they asked about a group.
How many ways can they finish 1st 2nd or 3rd?
There are 720 different outcomes possible in the race.
How many different ways can six runners line up in a race?
There are 720 possible results.
How many different ways can a race with seven 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. 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 different ways can you have 1st 2nd 3rd and 4th place in a race with 6 runners?
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 9 runners be arranged on a 4 person relay team?
There are 6 different choices for the fourth person. This gives 9×8×7×6 different committees, however this will include the same combinations of people. There are 4×3×2×1 ways in which 4 people can be chosen. 9×8×7×6×54×3×2×1=126 different committees.
How many ways can 7 cars finish a race in 1st 2nd and 3rd place?
210 different ways
The answer is 210. There are 210 different ways these seven runners could take first, second, and third place in the race.
How many ways can 6 runners finish in 1st 2nd and 3rd place?
How many ways can first second and third place be awarded to 7 contestants?
There are 7 x 6 x 5 = 210 ways to award first, second and third prizes.
How many different outcomes are there in the race?
Assuming P represents the number of outcomes, n the number of competitors and r the number of places to be awarded. P = n! (n −r)! P = 10! (10− 3)! P = 10! 7! There are 720 different outcomes possible in the race.
How many runners join a race and how many winners?
In the latter case you would take Varun’s calculation and divide by the number of ways 3 winners can be arranged, which is 3*2*1 or 6. And the answer would be 2730 / 6 or 455. Ten runners join a race. How many possible ways can they be arranged as first, second and third places?
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.
How many runners could get second place?
Once we’ve decided that there are ten different first place options, we know that the same runner can’t come in both first and second, so if we ask ourselves how many runners could get second place, there are only nine choices for each combination with a first place winner. In a similar fashion, there are eight possibilities for third place.