The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders’ meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members) How many different slates consisting of a president, vice president, secretary, and treasurer can the board present to the stockholders for their approval? 5,040 ways Question: Of the 5,040 ways to approve a new slate of company officers from the given prerequisities, how many of the slates have a physician nominated for presidency if three members of the board are physicians?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 40E: Choosing Officers From a pool of 12 candidates, the offices of president, vice-president, secretary,...
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The board of directors of a pharmaceutical corporation has 10 members. An upcoming stockholders’ meeting is scheduled to approve a new slate of company officers (chosen from the 10 board members)  How many different slates consisting of a president, vice president, secretary, and treasurer can the board present to the stockholders for their approval? 5,040 ways

Question: Of the 5,040 ways to approve a new slate of company officers from the given prerequisities, how many of the slates have a physician nominated for presidency if three members of the board are physicians?

 
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