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?

Whiz333
Jun 12, 2017

#1**+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 %

CPhill
Jun 12, 2017

#1**+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 %

CPhill
Jun 12, 2017