legislative committee consists of 5 Democrats and 7 Republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts​ (a) through​ (d) below. (a) How many different delegations are​ possible? The 3 delegates can be selected __ different ways. ​(b) How many delegations would have all​ Democrats? The 3 delegates can be selected __ different ways if all 3 are Democrats. ​(c) How many delegations would have 2 Democrats and 1​ Republican? The 3 delegates can be selected __ different ways if 2 are Democrats and 1 is a Republican. ​(d) How many delegations would includ

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

A legislative committee consists of 5 Democrats and 7 Republicans. A delegation of 3 is to be selected to visit a small island republic. Complete parts​ (a) through​ (d) below.

(a) How many different delegations are​ possible?
 
The 3 delegates can be selected __ different ways.
 
​(b) How many delegations would have all​ Democrats?
 
The 3 delegates can be selected __ different ways if all 3 are Democrats.
 
​(c) How many delegations would have 2 Democrats and 1​ Republican?
 
The 3 delegates can be selected __ different ways if 2 are Democrats and 1 is a Republican.
 
​(d) How many delegations would include at least 1​ Republican?
 
The 3 delegates can be selected __ different ways if at least 1 is a Republican.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman