A company has 6 officers and 4 directors (10 different people). In how many ways can a committee of 4 be selected from these 10 people so that the following hold? (a) 2 members are officers and 2 are directors. ways (b) 3 members are officers and 1 is a director. ways (c) All the members are officers. ways (d) There are no restrictions. ways.

Q: An employment agency has 8 temporary workers. (a) In how many ways could 5 of them be assigned to…

A: The agency has 8 workers.  (a) Out of the 8 employees can be selected in 8C5 = 56 different ways.…

Q: In a class, there are 6 boys and 5 girls. How many ways can we form a committee / group / team of 6…

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Q: n how many ways can 5 men, 4 women, and 3 children be arranged in a row of 12 seats if a. the men…

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

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Q: There are 5 vacancies on the scholarship committee at a certain university. In order to balance the…

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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: In how many ways can a committee of three men and three women be formed from a group of eleven men…

A: The provided information is as follows:The total number of men is 11.The total number of women is…

Q: Assume that the committee consists of 11 members including Julie. The same three offices are to be…

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Q: Sixty elephants were asked about things that they like. 30 like tigers 25 like ivory carvings 26…

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Q: A small university has 5 academic departments. A committee of 3professors is going to be formed,…

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Q: A president and vice president for a club must be chosen from four people. How many different…

A: The permutation is defined as the arrangement of things or objects into a definite order. In…

Q: In how many ways can a committee of three men and two women be formed from a group of six men and…

A: Given, A group of 6 men and 9 women. To find: Number of ways to formed a committee of 3 men and 2…

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Q: In how many ways can a committee of two men and three women be formed from a group of eight men and…

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Q: I own earrings, necklaces, rings, bracelets, and anklets however my jewelry box only has three…

A: Here we have earrings, necklaces, rings, bracelets, and anklet Hence, Total number of jewellery (n)…

Q: In how many different ways can a panel of 12 jurors and 2 alternates be chosen from a group of 17…

A: The total number of jurors is 17.

Q: 3. There are 8 students running for 5 different leadership positions (ie President, VP,). How many…

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Q: (a) married to each other and (b) not married to each other

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Q: An employment agency has 6 temporary workers. (a) In how many ways could 4 of them be assigned to…

A: (a) It is required to find the number of ways in which the workers can be assigned to the research…

Q: v1 v 2 V3 v 4 12 P 13 At a deli counter, there are 9 sandwiches with meat and vegetarian sandwiches.…

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Q: Five high-profile guests, A, B, C, D and E, are invited to a corporate dinner party.   In how many…

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Q: A company has 5 officers and 4 directors (9 different people). In how many ways can a committee of 4…

A: Use the following formula, to obtain the solution. To select a size of r among n choices, use the…

Q: Six friends, Brennan, Chad, Heather, Rona, Tracy and Trevor, a theatre. The number of ways that they…

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Q: 4. Ms. Green must choose three students from her chess club to speak on the Rebel Report. If the…

A: Given Total no.of members in a club = 10No.of students to be choosen for Rebel Report = 3

Q: 6 people consisting of 3 couples are seated in a row of 6 chairs to take group pictures. (a) In how…

A: in following ways they can be seated

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Q: Last Super Bowl weekend, there were 109 pizzas ordered for the sophomore dorm. That weekend 32…

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Q: Dr. Orchid has 9 paintings she wants to hang side by side on her wall. (a) In how many ways can she…

A: Given query is to find the arrangement of 9 paintings and the selection of 4 out of 9.

Q: A newly established company needs to have a committee that consists of one accountant, two marketing…

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Q: A class has 32 students. In how many different ways can six students form a group for an activity?…

A: Given: Number of students, n=32. Number of students selected to form a group, r=6. The objective…