(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?

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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A television director has to schedule commercials during 6 time slots allocated to commercials during the national telecast of the first period of a Seattle Kraken hockey game (Canucks Sucks).
(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?
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