19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how many ways can a committee of 3 civil en- gineers and 2 mechanical engineers be appointed? (b) If 2 civil engineers disagree with each other and refuse to be on the same committee together, how many different ways can a committee of 3 civil engineers and 2 mechanical engineers be formed?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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3.19 An Engineers Association consists of 5 civil engineers
and 5 mechanical engineers.
(a) In how many ways can a committee of 3 civil en-
gineers and 2 mechanical engineers be appointed?
(b) If 2 civil engineers disagree with each other and
refuse to be on the same committee together,
how many different ways can a committee of 3
civil engineers and 2 mechanical engineers be
formed?
Transcribed Image Text:3.19 An Engineers Association consists of 5 civil engineers and 5 mechanical engineers. (a) In how many ways can a committee of 3 civil en- gineers and 2 mechanical engineers be appointed? (b) If 2 civil engineers disagree with each other and refuse to be on the same committee together, how many different ways can a committee of 3 civil engineers and 2 mechanical engineers be formed?
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