A student council consist of 12 students. (Show the details of your computation, not just your final answer) (a) In how many ways a committee of 4 can be selected from the students in the council? (b) Two students in the council have the same major and are not permitted to serve together on a committee. How many ways a committee of 4 can be selected from the students in the council?

A student council consist of 12 students. (Show the details of your computation, not just your final answer) (a) In how many ways a committee of 4 can be selected from the students in the council? (b) Two students in the council have the same major and are not permitted to serve together on a committee. How many ways a committee of 4 can be selected from the students in the council?

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

Math Discrete Structure

7. A student council consist of 12 students. (Show the details of your computation, not just your final answer)
(a) In how many ways a committee of 4 can be selected from the students in the council?
(b) Two students in the council have the same major and are not permitted to serve together on a
committee. How many ways a committee of 4 can be selected from the students in the council?
(c) Suppose the council contains 6 women and 6 men. How many committees of 4 can selected with 2
women and 2 men?
(d) The council consist of 4 freshmen, 2 sophomore, 2 juniors and 4 seniors. How many committees of 4
can be created with one student from each grade level?

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