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please provide the answers clearly

1. In a primary election, there are 4 candidates for mayor, 5 candidates for city treasurer, and 2 candidates for county attorney. (a) In how many ways may voters mark their ballots if they vote in all three of the offices? (b) State which theorem from the text is applicable to solving part (a) (c) In how many ways can a person vote if exercising the option to vote for any or all of these offices? 2. A multiple-choice test consists of 20 questions, each permitting a choice of 4 alternatives. In how many ways may a student fill in the answers if they answer each question? 3. In how many ways may 6 people form a circle for a folk dance? State which theorem from the text is applicable to solving this problem.

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