SOLUTION: in how many different ways the first 3 places can be filled in a race in which there are 11 horses

Question 253686: in how many different ways the first 3 places can be filled in a race in which there are 11 horses
Found 2 solutions by vleith, edjones:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
think of it this way. How many horse could finish first?
11
How many could be second once the horse given one horse was already first?
11-1 = 10
How may could be third given that two horses finished ahead of them
11-2 = 9
So how many different can the first three places be filled?
11*10*9
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
We are interested in the ways the horses can be arranged (1st, 2nd or 3rd) so this is a permutation question.
nPr=n!/(n-r)!
.
11P3=11!/(11-3)!=11!/8!=(11*10*9*8!)/8!=11*10*9=990 different ways.
.
Ed
RELATED QUESTIONS
In how many ways can the first 4 places be filled by 10 horses in a race assuming there... (answered by ewatrrr)
in a race between 7 horses how many ways can the first 3 horses... (answered by math_tutor2020,Alan3354)
In a race with 10 horses, how many different ways can the horses finish... (answered by richard1234)
Please do show me how did you solve it Find the Number of Ways of Selecting 4... (answered by Alan3354,Theo)
Ten horses are entered in a race. How many ways can the horses finish in first and... (answered by Alan3354)
In a horse race, how many different finishes among the first 3 places are possible if 20... (answered by Fombitz)
At a horse race with a field of 10 horses. How many ways are there to select the first 3... (answered by ikleyn)
In a race in which 9 automobiles are entered and there are no ties,in how many different... (answered by fractalier)
five horses compete in a race how many selection are there of the first two horses to... (answered by jrfrunner)