3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12 parent-nominees and seven teacher-nominees if there must be eight parents in the BOD? b. After the 12 members are chosen, in how many ways can they elect among themselves the seven top positions (president, vice president, and others)?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 36RE: In a group of 5 freshman, 10 sophomores, 3 juniors, and 2 seniors, how many ways can a president,...
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3. a. In how many ways can the 12 members of the Board of Directors (BOD) be
chosen from 12 parent-nominees and seven teacher-nominees if there must be
eight parents in the BOD?
b. After the 12 members are chosen, in how many ways can they elect among
themselves the seven top positions (president, vice president, and others)?
Transcribed Image Text:3. a. In how many ways can the 12 members of the Board of Directors (BOD) be chosen from 12 parent-nominees and seven teacher-nominees if there must be eight parents in the BOD? b. After the 12 members are chosen, in how many ways can they elect among themselves the seven top positions (president, vice president, and others)?
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