Make sure to:(1) The universe set X.(2) The excluded subsets Ai.(3) The method used to count the intersections of excluded subsets. 1. IHow many ways can we choose 20 doughnuts from 5 different flavors if we canchoose at most 5 of each of the first three flavors?

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Answered: 1. How many ways can we choose 20…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Explain the idea of cardinality. When is a set denumerable? Show that the union of two denumerable sets is denumerable.
Answr number 3
Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A {12, 18, 20} Set B = {3, 7, 13, 18, 20} Find the following: LIST the elements in the set (AU B): (AUB) = { } Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE LIST the elements in the set (A n B): (AN B) = { } %3D Enter the elements as a list, separated by commas. If the result is the empty set, enter DNE You may want to draw a Venn Diagram to help answer this question.
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Suppose we want to choose 6 objects, without replacement, from 9 distinct objects. (If necessary, consult a list of formulas.) (a) How many ways can this be done, if the order of the choices matters? ☐ (b) How many ways can this be done, if the order of the choices does not matter? ☐
I) We know that {-5,-4,-3,-2,-14 and N are well-ordered sets with respect to the trivial ordering. Let X= 2-5,-4 -3,-2,-1 UN. Prove that the poset X is a well- set with respect to the trivical ordering. ordered
A,B,C are sets ,prove part (e)
The union of the universal set and any of its subset is * none of the choices cannot be determined the complement of the universal set the universal set itself an empty set
Please help explain in detail. I want to understand the process involved. Thank you.
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What is the graph of complex intuitionistic fuzzy set? I
7. How do we denote the empty or null set?

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1. How many ways can we choose 20 doughnuts from 5 different flavors if we can choose at most 5 of each of the first three flavors?