1.A club has 25 members.How many ways are there to choose four members of the club to serve on an executive committee?How many ways are there to choose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office?
2.In how many different ways can five elements be selected in order from a set with three elements when repetition is allowed?
3.What is the probability that a fair die never comes up an even number when it is rolled six times?
(Note: Enter the value of probability in decimal format and round it to three decimal places.)
4.Let p and q be the propositions
p :You have the flu.
q :You miss the final examination.
Identify the English sentence that expresses the compound proposition p → q.
5. Let q and r be the propositions
q :You miss the final examination.
r :You pass the course.
The English sentence of the compound proposition ¬q ↔ r is “You do not miss the final exam if and only if you pass the course.”
6.)Let q and r be the propositions
q :You miss the final examination.
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