(a) A four-person student council is elected each year consisting of one student from each of the first, second-, third-, and fourth-year classes. Suppose that, on the ballot, there are 2 first-year students, 4 second-year students, 2 third-year students, and 3 fourth-year students. How many different elected councils are possible?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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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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(a) A four-person student council is elected each year consisting of one student from each
of the first, second-, third-, and fourth-year classes. Suppose that, on the ballot, there
are 2 first-year students, 4 second-year students, 2 third-year students, and 3 fourth-year
students. How many different elected councils are possible?
Transcribed Image Text:(a) A four-person student council is elected each year consisting of one student from each of the first, second-, third-, and fourth-year classes. Suppose that, on the ballot, there are 2 first-year students, 4 second-year students, 2 third-year students, and 3 fourth-year students. How many different elected councils are possible?
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