A vice president and a secretary are to be chosen from an organization consisting of 30 people. How many different choices of officers are possible if a) there are no restrictions; b) Alice will serve only if she is the vice president; c) Bob and Cath will serve together or not at all; d) Divine and Ethel will not serve together?

A vice president and a secretary are to be chosen from an organization consisting of 30 people. How many different choices of officers are possible if a) there are no restrictions; b) Alice will serve only if she is the vice president; c) Bob and Cath will serve together or not at all; d) Divine and Ethel will not serve together?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A vice president and a secretary are to be chosen from an organization
consisting of 30 people. How many different choices of officers are possible if

a) there are no restrictions;
b) Alice will serve only if she is the vice president;
c) Bob and Cath will serve together or not at all;
d) Divine and Ethel will not serve together?

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