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Consider the problem of choosing r students from a group of 32 students, m of them are men, to work as a team on a project. Suppose 12

Consider the problem of choosing r students from a group of 32 students, m of them are men, to work as a team on a project. Suppose 12

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Consider the problem of choosing r students from a group of 32 students, m of them are men, to work as a team on a project. Suppose 12 srs 18 and 10 s m s 15. Give values of m and r, and use these values to solve the following: (a) How many r-person teams can be chosen that consist of (m – 5) men? (b) Suppose 3 particular students of the group insist on either working together or not at all on project. How many r-person teams can be formed? Explain your answers.
Transcribed Image Text:Consider the problem of choosing r students from a group of 32 students, m of them are men, to work as a team on a project. Suppose 12 srs 18 and 10 s m s 15. Give values of m and r, and use these values to solve the following: (a) How many r-person teams can be chosen that consist of (m – 5) men? (b) Suppose 3 particular students of the group insist on either working together or not at all on project. How many r-person teams can be formed? Explain your answers.
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