An important amendment has to be passed in the assembly. 5 lawyers and 3 politicians have been taken into consideration. How many groups of committee of 4 people can be formed among them.

Q: How many different committees are possible that consist of 5 women and 3 men selected from a group…

A: For a committee, arrangement does not matter so use the combination method.  We can select 5 women…

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: A new committee is to be made from the 8 members of city council. Each member can choose to be on…

A: We have to find nom of committee possible.

Q: A software company employs 9 sales representatives and 8 technical representatives. How many ways…

A: Solve in the following way

Q: The board of directors of a corporation comprises 9 members. An executive board, formed by 4…

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

Q: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: A political scientist surveys 24 of the current 138 representatives in a state's congress.

A: Population is the group collected data is intended to describe. Sample is a smaller subset of the…

Q: 3,5,12,55,648?

A: If we see this pattern clearly we can see  3,5,12,55,648 3*5-3 = 12 5*12-5 = 55 12*55-12 = 648 So…

Q: ssume that 8 women and 6 men work in a department at a large company. How many ways can a…

A: Combination formula : The number of ways to select r subject from n is determined by using following…

Q: men. How many ways are there to chc en?

A:

Q: Out of 5 mathematicians and 7 physicists, a committee consisting of 2 mathematicians and 3…

A:

Q: A committee is comprised of 5 mathematicians, 2 historians, 7 economists, and 5 scientists. How many…

A:

Q: Three research department have 8,6,and 10 members , 4 respectively. Each department is to select a…

A: Three research department have 8,6, and 10 members, respectively.

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

A:

Q: The United States Senate has 2 senators from each of the 50 states. Select all methods that would…

A: A simple random sample can be drawn through either of the two procedures i.e. through lottery…

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

A:

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: How many different committees can be formed from 9 teachers and 32 students if the committee…

A: Given that there are 9 teachers and 32 students.We need to find the total possible committees…

Q: If 5 students are to be seated in 5 chairs, how many ways can they be seated in a circle?

A: Let, n be the number(n)=5 The total number of arrangement = 1 x (n-1)!…

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: Suppose a club has 22 members.  How many ways can they form a 5-person committee?

A: Given:  A club has 22 members. We need to form a 5 person committee. We need to find how many ways…

Q: rticipate in a competition. Calculate how many different ways the first, second and third can be…

A: The fundamental counting principle says that if n ways are there to complete one thing, and m ways…

Q: There are 15 members on the board of directors for the Hospital. If they must  elect a chairperson,…

A: Determine the number of ways to select a chairperson, a vice-chairperson, a secretary, and a…

Q: In a local club composed of 27 people, how many ways can 1 president, 1 vice President, 1 secretary…

A: Total number of people composed = 27

Q: A baseball manager wants to arrange 9 starting players into batting order. How many different…

A: given data  arrange 9 starting players into batting order.

Q: The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is…

A: Given data; The number of spots available  in cabinet he/she is appointing(x) = 5 The eligible…

Q: At the first tri-city meeting, there were 5 people from town A, 4 people from town B, and 2 people…

A:

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…