+101 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?
+128406
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 %
+128406
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 %
