A television director has to schedule commercials during 6 time slots allocated to commercials during the national telecast of the first period of a Montréal Canadiens hockey game. (a) In how many ordered ways can the television director schedule 6 different commercials during the 6 time slots? (b) In how many ways can the television director fill the 6 time slots allocated to commercials, if there are 4 different commercials, of which a given one is to be shown 3 times while each of the others is to be shown once? (c) As in (b) except the commercial shown three times can’t be shown before or after itself (i.e., not consecutively). How many ways can the television director fill the 6 time slots?

A television director has to schedule commercials during 6 time slots allocated to commercials during the national telecast of the first period of a Montréal Canadiens hockey game. (a) In how many ordered ways can the television director schedule 6 different commercials during the 6 time slots? (b) In how many ways can the television director fill the 6 time slots allocated to commercials, if there are 4 different commercials, of which a given one is to be shown 3 times while each of the others is to be shown once? (c) As in (b) except the commercial shown three times can’t be shown before or after itself (i.e., not consecutively). How many ways can the television director fill the 6 time slots?

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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