3. (a) How many permutations of the letters ABCDEFGH does there exist?(b) How many permutations of the letters ABCDEFGH contain the string AB?(c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG?Answer:

Answered: 3. (a) How many permutations of the…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.CR: Chapter Review

Problem 2CC

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Similar questions

True or False? In counting combinations, order matters. In counting permutations, order matters. For a set of n distinct object, the number of different combinations of these object is more than the number of different permutations. If we have a set with five distinct objects, then the number of different ways of choosing two members of this set is the same as the number of ways of choosing three members.
Answer the following questions. 4. Describe how the permutation of ii objects differs from the permutation of choosing r objects from a set of n objects. Include how each is calculated.
An Internet service provider requires its customer to select a password consisting of four letters followed by three digits. Find how many such passwords are possible in each of the following cases: a Repetition of letters and digits is allowed. b Repetition of letters and digits is not allowed.

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3. (a) How many permutations of the letters ABCDEFGH does there exist? (b) How many permutations of the letters ABCDEFGH contain the string AB? (c) How many permutations of the letters ABCDEFGH contain the strings ABC and HG? Answer: