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The court system in a community needs to assign 3 out of 8 judges to a docket of criminal cases. Five of the judges are male and three are female.

 

a) Does the selection of judges involve a permutation or a combination?

b) In how many ways could three judges be chosen?

c) If the judges are chosen randomly, what is the probability that all 3 judges are male?

 Jun 12, 2017

Best Answer 

 #1
avatar+98061 
+1

 

a)  a combination........combinations count sets......permutations count orderings of sets......here, the order does not matter

 

b)  C(8,3)  = 56  ways   ....thus 56 different sets

 

c)  P(3 male)  =  (sets of all possible men) /(all possible sets )  = 

 

  C(5,3) / C(8,3)  =  10 / 56  =  5 / 28   ≈  17.86 %

 

 

cool cool cool

 Jun 12, 2017
 #1
avatar+98061 
+1
Best Answer

 

a)  a combination........combinations count sets......permutations count orderings of sets......here, the order does not matter

 

b)  C(8,3)  = 56  ways   ....thus 56 different sets

 

c)  P(3 male)  =  (sets of all possible men) /(all possible sets )  = 

 

  C(5,3) / C(8,3)  =  10 / 56  =  5 / 28   ≈  17.86 %

 

 

cool cool cool

CPhill Jun 12, 2017

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