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How many different committees can be formed from 6 teachers and 33 students if the committee consists of 3 teachers and 2 students?

There are 10560 possible committees.


How many committees of four can be formed from 20 Republicans and 15 Democrats if at least one Republican and at least one Democrat must be on the committee?

There are 46,150 possible committees.


How many different committees can be formed from 11 teachers and 48 students?

To determine the number of different committees that can be formed from 11 teachers and 48 students, we need to clarify the size of the committee and whether there are any restrictions on the selection. If we assume that any combination of teachers and students can be chosen without restrictions, the total number of possible combinations is (2^{11} \cdot 2^{48} = 2^{59}). This accounts for every possible subset of teachers and students, including the empty committee.


What type of committee generally called to investigate an issue for possible future legislation or to perform a special function that is beyond the authority of a standing committee is known as what?

Such a committee is typically called a "select committee" or "special committee." These committees are formed to address specific issues, conduct investigations, or carry out functions that are not within the purview of standing committees. They may be temporary and disband after their purpose is fulfilled, often leading to recommendations for future legislation.


Committee chairperson usually are chosen on the basic of what?

Members of Congress usually choose committee chairperson on the basis of seniority. Nominations are made by the majority party caucus or conference.


Can a subcommittee be a committee of the whole?

Yes, a subcommittee can be a committee of the whole. While it is possible, it is usually stupid. The purpose of a subcommittee is to study an issue in depth, to bring back a report, and present the research to back it up. If the subcommittee does its job, it keeps the committee's discussion from being a pooling of ignorance. Usually committees divide up work among subcommittees. If you are going to have a subcommittee be a committee of the whole, why have a subcommittee?


How many different committees can be formed from 10 teachers and 30 students if the committee consists of 2 teachers and 2 students?

There are (10 x 9)/2 = 45 different possible pairs of 2 teachers. For each of these . . .There are (30 x 29)/2 = 435 different possible pairs of students.The total number of different committees that can be formed is (45 x 435) = 19,575 .


How many 5 person committees can be selected from nine people?

To determine how many 5-person committees can be formed from nine people, you can use the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( n ) is the total number of people, and ( k ) is the number of people to choose. In this case, ( n = 9 ) and ( k = 5 ). Thus, the number of ways to select the committee is ( C(9, 5) = \frac{9!}{5!(9-5)!} = \frac{9!}{5!4!} = 126 ). Therefore, there are 126 different 5-person committees possible.


A committee of 4 people is to be formed from a group of 15 employees How many different committees are possible?

This is a combination problem; use the nCr formula. nCr = 15! / ((15-4)!*4!) nCr = 15! /(11!*4!) nCr = 1365


How many ways can a committeee of 6 be chosen from 5 teachers and 4 students if the committee must includes three teachers and three students?

There are 10 different sets of teachers which can be combined with 4 different sets of students, so 40 possible committees.


A planning committee for a dance is to have 7 members Fifteen people apply to join the committee How many committee selections are possible?

15


What is the best number of variables for a scientific investigation?

In an experiment containing a number of possible variables only one of these should be altered in each individual experiment. Otherwise it is not possible to determine which variable is responsible for a particular change.