SOLUTION: in a music award ceremony, 5 female singers are competing for the gold,silver, and bronze awards under "the best female singer". 1. if victoria gets the bronze, how many permutat

Algebra ->  Permutations -> SOLUTION: in a music award ceremony, 5 female singers are competing for the gold,silver, and bronze awards under "the best female singer". 1. if victoria gets the bronze, how many permutat      Log On


   

Question 1173337: in a music award ceremony, 5 female singers are competing for the gold,silver, and bronze awards under "the best female singer".
1. if victoria gets the bronze, how many permutations are there for the winner in 3 awards?
2. if kate is one of the winner, how many permutations are there for the winner in the 3 awards?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

( 1 ) 

Then there are 4 candidates for the gold


and 3 remaining candidates for silver.


In all,  4*3 = 12 permutations are possible.    ANSWER


( 2 ) 

If Kate won gold, then for the rest candidates there are 4*3 = 12 possible permutations.


If Kate won silver, then for the rest candidates there are 4*3 = 12 other possible permutations.


If Kate won bronze, then for the rest candidates there are 4*3 = 12 possible other permutations.


These three sets of permutations with 12 elements in each set, are DISGIUNT, 

so the final answer is  12+12+12 = 36 permutations.   


ANSWER.  In all, there are 36 possible permutations.