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# Permutations and Combinations

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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?

Whiz333  Jun 12, 2017

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+79784
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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
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#1
+79784
+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

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