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?

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?

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

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?

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