Question 1 How many different 5-people committees can be chosen from 9 people?

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A: number of ways select of r objects from n objects  =ncr =n!/[(n-r)! r!]

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Q: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.…

A: An election ballot asks voters to select six city commissioners from a group of sixteen candidates.

Q: In how many ways can a committee of three men and two women from eight men and six women

A: given data  make committee of 3 men and 2 womens from 8 mens and 6 womens.

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…

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A:

Q: 1. Determine the number of different 3-people or 4-people committees that can be formed from the 8…

A:

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: How many different committees of size  3  can be formed from  15  people?

A:

Q: How many ways seating arrangements are possible for five people at a roundtable

A: Given that number of people are: n=5 The number of permutations of n elements in a circle is: P=n-1!

Q: A manufacturing unit has to appoint a committee consisting of 4 people. There are 9 eligible…

A: Given , A manufacturing unit has to appoint a committee consisting of 4 people. ie, There are 9…

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…

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: Recall that the general solution to the following boundary value problem for the heat equation Ut =…

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

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Q: How many different committees of 3 people can be formed from a pool of 7 people? A We need to pick a…

A: Given: There is a pool of 7 people.

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: The St. Louis Fighting Octogenarians is a local baseball team which currently has nineteen members.…

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Q: How many ways to choose 4 out of the 10 candidates to be sent to a conference?

A: Combination Rule: The arrangement of r objects from n different objects is given by:

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Q: Problem 8.1: Compute the LTs of the following three unrelated functions: ∞ fi(t) = [(-1)¹u(t− n) n=0…

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Q: From 9 names on a ballot, a committee of 5 will be elected to attend a political national…

A: Determine the number of different committees is possible. Combination: A combination is a selection…

Q: How many different 4-people committees can be chosen from 8 people?

A: