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.
Q. What is the probability that horse A or B wins the race?
The probability that either A or B wins is 20%+16.7% or 36.7%.
Table of Contents
- Q. What is the probability that horse A or B wins the race?
- Q. How many possible ways can a 8 horse race finish in first second and third place?
- Q. How many ways can they finish 1st 2nd or 3rd?
- Q. How many different ways can you have 1st 2nd 3rd and 4th in a race with 10 runners?
- Q. How many ways can 8 letters be arranged?
- Q. How many ways can a party of 7 persons arrange themselves in a row of 7 chains?
- Q. How many ways can you order 4 things?
- Q. How many ways can you order 6 things?
- Q. How many ways can you arrange 10 things?
- Q. How many ways can you order 5 things?
- Q. How many ways can 7 things be arranged?
- Q. How many ways can a 5 letter word be arranged?
- Q. How many ways can 12345 be arranged?
Q. How many possible ways can a 8 horse race finish in first second and third place?
336 ways
Q. How many ways can they finish 1st 2nd or 3rd?
You want to then multiply 5*4*3 to represent the different combinations we can make for each 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.
Q. How many different ways can you have 1st 2nd 3rd and 4th in a race with 10 runners?
7! There are 720 different outcomes possible in the race.
Q. How many ways can 8 letters be arranged?
Using all 8 letters, there are 8! = 40,320 distinct permutations.
Q. How many ways can a party of 7 persons arrange themselves in a row of 7 chains?
5040 ways
Q. How many ways can you order 4 things?
24 different ways
Q. How many ways can you order 6 things?
720 ways
Q. How many ways can you arrange 10 things?
The answer depends on the frequency of each letter. If the letters are all different, then they can be arranged in 10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800 ways. If some of the letters are repeated, the number of arrangements will be 10!
Q. How many ways can you order 5 things?
120 ways
Q. How many ways can 7 things be arranged?
5,040
Q. How many ways can a 5 letter word be arranged?
=120 different ways.
Q. How many ways can 12345 be arranged?
Overall, we have 5*4*3*2*1 = 120 ways. to arrange all 5 digits Calculations of this type are so common in counting problems that there is a special notation used for them.
