Nine students, five men and four women, interview for four summer internships at 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 interns with two men and two women? (c) How many set can be formed such that all interns are not of the same sex?

Nine students, five men and four women, interview for four summer internships at 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 interns with two men and two women? (c) How many set can be formed such that all interns are not of the same sex?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Nine students, five men and four women, interview for four summer internships at 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 interns with two men and two women?
(c) How many set can be formed such that all interns are not of the same sex?

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