In how many different ways can five elements be selected in order from$ 15.00

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.