] In a mock trial, a judge, a jury member, and an executioner are to be chosen from a group of 12…

] In a mock trial, a judge, a jury member, and an executioner are to be chosen from agroup of 12 people.a) In how many different ways can this be done?b) Suppose a person can hold more than one position, so that it is possible that someone is,for example, both the judge and the executioner, or the judge, the jury, and theexecutioner all at the same time. In how many ways can this be done?c) Suppose two persons are to be chosen from the 12 to fill all three positions, so that oneperson will hold two positions (and the other will hold one). In how manyways can this be done? Note that the three positions are distinct.d) Suppose one judge, one jury member and one executioner have already been chosen fromthe 12 people, and three more judges are to be cho

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