What proof techniques are used to show that the cardinality of the power set of a finite set S is 27 NOTE: Choose the MOST correct alternative. O a. Associating an n-tuple to each subset of an n-set, where each element is chosen from n choices. O b. By explicit construction of an example. OC. Counting the number of k-tuples for each k adding and using the size of the power set. O d. Counting the number of k-tuples for each k adding and appeal to the binomial theorem. O e. Counting the number of k-subsets for each k adding and appeal to the binomial theorem. O f. Counting the number of k-subsets for each k adding and using the size of the power set. O8 Using the multiplication principle for the number of ways to choose an n-tuple with entries from {0, 1}. O h. Associating an n-tuple with binary entries to each subset of an n-set. and the multiplication principle.

What proof techniques are used to show that the cardinality of the power set of a finite set S is 27 NOTE: Choose the MOST correct alternative. O a. Associating an n-tuple to each subset of an n-set, where each element is chosen from n choices. O b. By explicit construction of an example. OC. Counting the number of k-tuples for each k adding and using the size of the power set. O d. Counting the number of k-tuples for each k adding and appeal to the binomial theorem. O e. Counting the number of k-subsets for each k adding and appeal to the binomial theorem. O f. Counting the number of k-subsets for each k adding and using the size of the power set. O8 Using the multiplication principle for the number of ways to choose an n-tuple with entries from {0, 1}. O h. Associating an n-tuple with binary entries to each subset of an n-set. and the multiplication principle.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section: Chapter Questions

Problem 3CC: (a) What is a combination of r elements of a set? How many combinations are there of n elements...

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