Choose Wisely! 1. In how many ways can 8 members of Board of Directors be chosen from 5 juniors and 7 seniors if there must be 5 seniors in the board? 2. After the 8 members are chosen, in how many ways can they elect among themselves the top 4 positions (president, vice president, secretary, and treasurer)?

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A: Note:  Permutation: We kno that, nPr represents the selection an ordered set of ‘r’ objects from a…

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Q: Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…

A: #Twelve horses take part in a race. Amongst them are 4 brown horses, 4 mares and 4 black stallions.…

Q: Compute P5,2.

A: To compute P5,2

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A: Combination formula :  The number of ways to select x subject from total n subject is given by,  Cxn…

Q: a. In how many ways can 3 civil engineers and 2 mechanical engineers be chosen from the applicants?…

A: Here use combination An Engineers Association has a couple of vacant positions and there are a total…

Q: How many ways can a jury of 5 women and 6 men be selected from 13 women and 12 men

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Q: Baseball teams have an active roster of 25 players, but only 9 players play in the field at once. Of…

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Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The…

A: As per guideline expert have to answer first question only dear student please upload other question…

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

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Q: in how many ways can a jury of 5 men and 7 women be selected from 10 men and 10 women?

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Q: How many ways can a delegation of 55 Republicans, 55 Democrats, and 22 Independents be selected from…

A: Given data Number of Republicans = 77 Number of Democrats = 77 Number of Independent = 33

Q: An engineer is putting together a train with 5 box cars, 3 tank cars, and 4 flat cars. For the box…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: There are 17 students in the club. How many ways can a committee of at most 3 students be chosen

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Q: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party Each…

A: A small company of 30 employees needs to choose 6 people to plan out their annual holiday party.

Q: How many ways are there to select the 5-person committee such that exactly 3 local business owners…

A: It is given that Total persons = 20 Number of homeowners = 11 Number of local businesses owners = 20…

Q: A club of 8 people wants to choose an executive board consisting of president, secretary, treasurer,…

A: The problem can be solved using the concept of permutation and combination.

Q: Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The…

A:

Q: Suppose there are 20 students in our class and we want to choose 3 to sit in the front row. How many…

A: Given information There are 20 students We want to choose 3 to sit in the front row Total number of…

Q: committee of 7 must be chosen to decide on a new school uniform. There are 9 adults and 14 students…

A: Given : There are 9 adults and 14 students who wish to be on the committee. 9 A 14 S Total people =…

Q: The principal wants to have a teacher committee on non-semestering. There are 11 secondary teacher…

A: Determine the number of ways that the principal can form a committee of 5 if there must be at least…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

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Q: In how many ways can a subcommittee of eight be chosen from a Senate committee of seven Democrats…

A: We have to find In how many ways can a subcommittee of eight be chosen from a Senate committee of…

Q: Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee…

A: Given:Total women = 9Total men = 15Total committee members required = 7Condition: The committee must…

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

Q: A House committee has 9 members, consisting of 5 Republicans and 4 Democrats. An of 3 members is…

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