Reference no: EM13941697
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.
r :You pass the course.
The English statement for the compound proposition q → ¬r is "If you miss the final exam, then you pass the course."
7.)Let p, q, and r be the propositions
p :You have the flu.
q :You miss the final examination.
r :You pass the course.
Identify the statement that express the compound proposition p q r as an English sentence.
8.)Let p, q, and r be the propositions
p :You have the flu.
q :You miss the final examination.
r :You pass the course.
Identify the English sentence of the compound proposition (p → ¬r) (q → ¬r).
9.Let p, q, and r be the propositions
p :You have the flu.
q :You miss the final examination.
r :You pass the course.
The English sentence of the compound proposition (p q) (¬q r) is "Either you have the flu and miss the final exam, or you do not miss the final exam and do pass the course."
10.) True or False :The negation of the statement "Kwame will take a job in industry or go to graduate school." using De Morgan's law is "Kwame will not take a job in industry or will not go to graduate school."
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: 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 t..
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