In an 8-woman race, gold, silver and bronze medals are to be given to the first, second, and third place finishers.

Assuming no ties, in how many ways can these medals be awarded?

A.
9 ways

B.
24 ways

C.
336 ways

D.
40,320 ways

Question

In an 8-woman race, gold, silver and bronze medals are to be given to the first, second, and third place finishers. 


Assuming no ties, in how many ways can these medals be awarded?
  
 
 

 
 

  

  A. 
  9 ways   
   

 
 

  

  B. 
  24 ways   
   

 
 

  

  C. 
  336 ways   
   

 
 

  

  D. 
  40,320 ways

anonymous · Answer

@punksauce

anonymous · Answer

@.WhiteDragon.

punksauce · Answer

I'm pretty sure it would be B. but it depends on what your lesson is about.

anonymous · Answer

permutations

ddcamp · Answer

8 possible options for first place, 7 possible for second place, and 6 possible for third
8×7×6=336 possible ways.

anonymous · Answer

thanx  punksauce and ddcamp I got 100%

ddcamp · Answer

Or using the combu formula:
n=8 (total runners)
r=3 (people getting medals)

$$nPr = \frac{n!}{(n-r)!}=\frac{8\times7\times6\times5...}{6\times5\times4...} = \frac{6\times7\times6}{1}=336$$