Question: Nine students, five men and four women, interview for four summer internships sponsored by a city newspaper. (a) In how many ways can the newspaper

Nine students, five men and four women, interview for four summer internships sponsored by a city newspaper.
(a) In how many ways can the newspaper choose a set of four interns?
(b) In how many ways can the newspaper choose a set of four interns if it must include two men and two women in each set?
(c) How many sets of four can be picked such that not everyone in a set is of the same sex?

Step by Step Solution

★★★★★

3.38 Rating (173 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

681-M-C-M-S (387).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A committee of 15 - nine women and six men - is to be seated at a circular table (with 15 seats). In how many ways can the seats be assigned so that no two men are seated next to each other?

A golf-course architect has four linden trees, five white birch trees, and two bald cypress trees to plant in a row along a fairway. In how many ways can the landscaper plant the trees in a row,...

A history teacher has given her class a list of seven essay questions to study before the next test. The teacher announced that she will choose four of the seven questions to give on the test, and...

13. A restaurant offers a choice of four appetizers, fourteen entrees, six desserts, and five beverages. How many different meals are possible if a diner intends to order only three courses?...

12. The scientist wants to investigate the effect of three variables on the speed of a chemical process: pressure, temperature and types of catalysts. The experimenter intends to use three sets of...

Please Follow the Instructions Subject English 103 Com/Critical Thinking 1. Analyze: In at least words , post a response to the assigned reading by analyzing the text (this is a close reading to find...

An essay, please address the following: How would you characterize the experience of immigration at Angel Island? How do the European immigration experiences at Ellis Island compare with those of...

Part 1. Write two well developed paragraphs about the material. Restate the material in a summary, an outline, or simply take careful notes. Part 2. Your own personal reflections on or reactions to...

Nike Knight the king case study : Q1. Evaluate Knights decisions in the early days of Nike (good and bad). a. Evaluate his career and business decisions. Q2. Jeff Johnson was a crucial early employee...

Bscom/350T 58 N N N N . 0 LTE Back to my LMS Week 4 Summative Assessment Choose the best answer for each question. You will have two attempts for this assessment. Points: 100 v Your Submission:...

State at least one commercial use for each of the following compounds: (a) 2-propanol (isopropanol), (b) Acetic acid. (c) Naphthalene. (d) Methanol. (e) Ethanol, (f) Ethylene glycol. (g) Methane. (h)...

In 2023 Alberta Electric Bike Co. (AEB) began selling electric bicycles for $$1,500. A complete 5-year warranty covering parts and labor is included in the price. On January 2, 2023, AEB sold 400...

Assume that an economy can choose between producing food and producing shelter at a constant opportunity cost. Draw a correctly labeled production possibilities curve for the economy. On your graph:...

In a graphic relationship, shifts in a curve are caused by a change in a. the slope of the curve. b. a factor not measured on the axes of the graph. c. one of the factors measured on either axis of...

Show that these statements about the integer x are equivalent: (i) 3x + 2 is even, (ii) x + 5 is odd, (iii) x2 is even.

Show that these statements about the real number x are equivalent: (i) x is irrational, (ii) 3x + 2 is irrational, (iii) x/2 is irrational.

Are these steps for finding the solutions of x + 3 = 3 x correct? (1) x + 3 = 3 x is given; (2) x + 3 = x2 6x + 9, obtained by squaring both sides of (1); (3) 0 = x2 7x + 6, obtained by...

Please, solve with Excel. You are the financial adviser to three individuals, a Young person with high risk tolerance, a Middle aged person with medium risk tolerance and an old person with low risk...

3. If the generally interest rates in the economy decrease significantly but the rate on a consumer's ARM loan remains high due to floors, what is the borrower likely to do in the absence of a...

Question 5 of 12 (1 point) Attempt 1 of 1 |View question in a popup @1h 49m Remaining 6.2 Section Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is...