A student club has to elect a slate of officers featuring a president, a vice-president, a secretary, and a treasurer. 9 seniors, 11 juniors, six sophomores, and four freshmen are in the club. How many different slates of officers could be elected if the president must be a senior but anyone can hold any other office? Assume no one holds more than one office at a time

A student club has to elect a slate of officers featuring a president, a vice-president, a secretary, and a treasurer. 9 seniors, 11 juniors, six sophomores, and four freshmen are in the club. How many different slates of officers could be elected if the president must be a senior but anyone can hold any other office? Assume no one holds more than one office at a time

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 student club has to elect a slate of officers featuring a president, a vice-president, a secretary, and a treasurer.
9 seniors, 11 juniors, six sophomores, and four freshmen are in the club.
How many different slates of officers could be elected if the president must be a senior but anyone can hold any other office?
Assume no one holds more than one office at a time

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