SOLUTION: A golf tournament is taking place with senior and rookie players. If first, second, and third prizes will be awarded to players from each division, which expression shows how ma

Algebra ->  Probability-and-statistics -> SOLUTION: A golf tournament is taking place with senior and rookie players. If first, second, and third prizes will be awarded to players from each division, which expression shows how ma      Log On


   

Question 1031784:
A golf tournament is taking place with senior and rookie players. If first, second, and third prizes will be awarded to players from each division, which expression shows how many ways can the golfers can place if there are 35 senior golfers and 20 rookie golfers?


A.
35P3 + 20P3

B.
35P3 • 20P3

C.
35C3 • 20C3

D.
35C3 + 20C3
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
since order is important, you would use the permuation formula.

since each division will have 3 winners each, then the total possible number of winners will be the number of winners in the senior division times the number of winners in the rookie division.

the number of possible sets of winners in the senior division is 35P3.

the number of possible sets of winners in the roodie division is 20P3.

the total number of possible sets of winners from both divisions would be 35P3 * 20P3.