IHow many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that noone orders the same thing as the person on either side of them? Hint: This problem has nonobvious symmetry which you must take some care to justify.

Q: Use sets  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {2, 4, 5, 7},  and  B = {1, 3, 4, 5, 6, 9, 10}…

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Q: Make sure to include: (1) The universe set X. (2) The excluded subsets Ai. (3) The method used to…

A: Given that there for 6 people sitting around a circular table to pick from 12 entrees so that noone…

Q: Cavity Candies mass produces an assortment of hard candies, consisting of three flavors: cinnamon,…

A: Solution:

Q: Let A={3,6,9}, B={2,4,6,8}, C={ 1,2,3,4,5}and the universal set U={0,1,2,.,10}. Find each set (a)…

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Q: True or False The intersection of two sets is always a subsetof their union

A: To check the statement

Q: The universal set is U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. If A = {1, 4, 7} and B = {2, 6}, find the…

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Q: If a set has 8 elements, how many of its subsets have the given   numbers of elements?   (1) at…

A: Given that the total number of elements= 8  So the total number of subsets= 28=256   We can select…

Q: 5) Find the union of four sets AUBUCUD, given A= {-3, -2, -1, 0}, B= {-2, -1, 0, 1}, C= {2, 3, 4)…

A: To find union of given four sets.

Q: 1. How many ways can we choose 20 doughnuts from 5 different flavors if we can choose at most 5 of…

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Q: Give an example of a set that contains nine elements of which two are sets. List three Subsets of…

A: Let the set which contains 9 elements be, A=1,2,3,4,5,6,7,8,9

Q: Could the explanation of how each cardinality set is determined be described?

A: Cardinality :  It is the number of elements in a mathematical set. In question there are three…

Q: Give an example of a bounded set that has infinitely many isolated points

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Q: (15pts) Let A, B and C be sets. Determine whether or not the following are valid. Justify your…

A: The objective of this question is to verify the validity of the given set equations using set…

Q: 1 How many elements must a set have if the number of proper subsets of the set is of the total…

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Q: Shade the Venn Diagram to show the set. (AN D) UF' ..... A Use the graphing tool to shade the set.…

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Q: What is (A∪B)c where A={5,11,3,8,9} , B={99,5,11,2,4} and Universal Set…

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Q: Give an example of a countable collection of finite sets whose union is not finite.

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Q: 2. Using inclusion-exclusion find the number of words of length 10 in the letters A,B,C,D that do…

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Q: Denote the set in set-builder form {6, 12, 18, ….66}

A: The objective is to denote the set {6, 12, 18, ….66} in set-builder form.

Q: A set with 6 elements has —- subsets

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