3.22 If among n objects k are alike and the others are all distinct, the number of permutations of these n objects taken all together is n!/k!. (a) How many permutations are there of the letters of the word class? (b) In how many ways can the television director of Exercise 3.21 fill the 6 time slots allocated to com- mercials, if there are 4 different commercials, of which a given one is to be shown 3 times while

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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3.22 If among n objects k are alike and the others are all
distinct, the number of permutations of these n objects
taken all together is n!/k!.
(a) How many permutations are there of the letters of
the word class?
(b) In how many ways can the television director of
Exercise 3.21 fill the 6 time slots allocated to com-
mercials, 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?
Transcribed Image Text:3.22 If among n objects k are alike and the others are all distinct, the number of permutations of these n objects taken all together is n!/k!. (a) How many permutations are there of the letters of the word class? (b) In how many ways can the television director of Exercise 3.21 fill the 6 time slots allocated to com- mercials, 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?
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