A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if: (i) there are no restrictions?  (ii) actor Kristoff will participate only if he is the lead role? (iii) actors Jess and Jet will act together or not at all?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 4T: Over the past year, John has purchased 30 books. In how many ways can he pick four of these books...
icon
Related questions
Question

A lead role and a supporting role are to be chosen from a drama club consisting of 40 talents. How many various choices of actors are possible if:
(i) there are no restrictions? 
(ii) actor Kristoff will participate only if he is the lead role?

(iii) actors Jess and Jet will act together or not at all? 
(iv) actors Keanne and Gian will not act together? 

Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning