SOLUTION: In how many ways can 12 athletes be awarded a first-place medal, a second place medal, and a third-place medal?a. 56 b. 336 c. 21 d. 3 In how many differ

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Question 470319: In how many ways can 12 athletes be awarded a first-place medal, a second place medal, and a third-place medal?a. 56
b. 336
c. 21
d. 3


In how many different ways can a student choose 3 out of 8 problems to complete on a take-home exam?a. 33
b. 1320
c. 220
d. 1728

If event A is certain to occur, what is P(A)?
a. 0.25
b. 0.5
c. 0
d. 1

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

In how many ways can 12 athletes be awarded a first-place medal, a second place medal, 

and a third-place medal?  nPx = 12P3 = n%21%2F%28n-x%29%21%29= 12!/9! = 1320



In how many different ways can a student choose 3 out of 8 problems to complete

 on a take-home exam?  nCx = 8C3 = n%21%2F%28x%21%28n-x%29%21%29 = 8!/3!5! = 56



If event A is certain to occur... P(A) = 1