Q3. A construction company includes 6 civil engineers, 5 mechanical engineers and 4 electrical engineers. A committee responsible for overseeing the implementation of a construction project must be formed consisting of 3 civil, 2 mechanical and 2 electrical engineers. Determine the number of possible ways to form this committee for the following cases: A. Any civil, mechanical and electrical engineers can be selected to form this committee. B. One particular civil engineer and one particular electrical engineer should be selected as they have the necessary qualifications. C. One particular mechanical engineer should not be selected as there is a shortage in the relevant experience.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 46SE: How many ways can a committee of 3 freshmen and 4 juniors be formed from a group of 8 freshmen and...
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Q3. A construction company includes 6 civil engineers, 5 mechanical engineers and 4
electrical engineers. A committee responsible for overseeing the implementation of a
construction project must be formed consisting of 3 civil, 2 mechanical and 2 electrical
engineers. Determine the number of possible ways to form this committee for the following
cases:
A. Any civil, mechanical and electrical engineers can be selected to form this
committee.
B. One particular civil engineer and one particular electrical engineer should be
selected as they have the necessary qualifications.
C. One particular mechanical engineer should not be selected as there is a shortage in
the relevant experience.
Transcribed Image Text:Q3. A construction company includes 6 civil engineers, 5 mechanical engineers and 4 electrical engineers. A committee responsible for overseeing the implementation of a construction project must be formed consisting of 3 civil, 2 mechanical and 2 electrical engineers. Determine the number of possible ways to form this committee for the following cases: A. Any civil, mechanical and electrical engineers can be selected to form this committee. B. One particular civil engineer and one particular electrical engineer should be selected as they have the necessary qualifications. C. One particular mechanical engineer should not be selected as there is a shortage in the relevant experience.
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