what is the probability that the person drawing the names is a math major?   b. How many ways can the group of students be formed if there are no restrictions  on composition?   c. How many ways can three math majors be chosen?   d. How many ways can 1 computer science major be chosen?   e. What is the probability that the random selection of the four-person group will  result in three math majors and 1 computer science major?

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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In a class of 18 students there are 11 math majors and 7 computer science majors.  
Four students are randomly picked to prepare a demonstrate on the use of a 
graphing calculator.    
a. If one person in the class is chosen at random to draw the names out of a hat, 
what is the probability that the person drawing the names is a math major?  
b. How many ways can the group of students be formed if there are no restrictions 
on composition?  
c. How many ways can three math majors be chosen?  
d. How many ways can 1 computer science major be chosen?  
e. What is the probability that the random selection of the four-person group will 
result in three math majors and 1 computer science major? 

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