A student organization of 12 wants to select a president, a vice-president, and a treasurer. How many different leadership assignments are possible?

Q: A committee has 20 people.  In how many ways can a President, Vice-President, and Secretary be…

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

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

Q: There are 19 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: There are 19 finalist in the singing competition. Top 4 singers receives prizes. The number of ways…

Q: From a pool of 300 candidates the office of president, Vice President, secretary, and treasurer will…

A: Given that,Total number of candidates = 300Total number of required candidates = 4

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the formula nCr = n!/(n-r)! * r!

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: The research director of NASA must choose three experiments to send to the International Space…

A: The total number of experiments proposed = 17 Number of experiments need to be chosen = 3 We have to…

Q: Four members from a 14 members committee are to be randomly selected to serve as a Chair, a…

A: The number of members is 14.

Q: company has 10 members on its boards of directors. In how many different ways can the board elect a…

A: given data, a company has 10 members on its boards of directorsselect a president, vice-precident,…

Q: How many ways are there to pick a five-person basketball team from 12 possible players? How many…

A:

Q: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

A: From 10 names on a ballot, a committee of 4 will be elected to attend a political national…

Q: There are 10 members on a board of directors. If they must elect a chairperson, a secretary, and a…

A:

Q: How many 7-member committees could you form from a set of 9 people?

A: There are total 9 people.  We have to select 7 people from them. Since we are forming a committee,…

Q: A committee of students and teachers is being formed to study the issue of how much they all love…

A: Given: 16 teachers and 35 students Total = 51 members  At least 2 teachers and at least 2 students…

Q: From among 11 people you must choose a President, a Vice President, a Secretary, and a Treasurer.…

A: Given Information: There are 11 people out which a President, a Vice President, a Secretary, and a…

Q: In a committee, 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. How…

A:

Q: There are 30 people in the class. We need to select 5 people to form a the committee, how many…

A:

Q: there are 11 members on a board of directors. if they must form a subcommittee of 6 members, how…

A: we use the probability for selections formula, nCr = n!/(n-r)! * r!

Q: A club with 28 members is to select five officers (president, vice president, secretary, treasurer,…

A: Total members=28

Q: The Environmental Protection Agency must investigate 9 mills for complaints of air pollution. How…

A: Giventotal no.of mills(n) = 9No.of mills have to select to investigate(r) = 5

Q: A club consists of 23 people. In how many ways can they choose a president, vice president,…

A:

Q: How many ways can 4 officers be elected from 12 candidates?

A: From the provided information, There are 12 candidates from which 4 officers will be elected.

Q: there are 5 faculty, 4 students, and 3 office staff eligible to serve on a 6 person committee. how…

A: At most 1 means 0 or 1 faculty member If there are 0 faculty members then we have to select 6…

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…