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How many elements does the successor of a set with n

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 60E Chapter 2.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 60E

How many elements does the successor of a set with n elements have?Sometimes the number of times that an element occurs in an unordered collection matters, Multisets are unordered collections of elements where an element can occur as a member more than once. The notation (m1 a1, m2 a2,....,mr ar} denotes the multiset with element a1 occurring m1 times, element a2 occurring m2 times, and so on. The numbers mi, i = 1, 2,....,r are called the multiplicities of the elements ai, i = 1, 2,....,r.Let P and Q be multisets. The union of the multisets P and Q is the multiset where the multiplicity of an element is the maximum of its multiplicities in P and Q. The intersection of P and Q is the multiset where the multiplicity of an element is the minimum of its multiplicities in P and Q. The difference of P and Q is the multiset where the multiplicity of an element is the multiplicity of the element in P less its multiplicity in Q unless this difference is negative, in which case the multiplicity is 0. The sum of P and Q is the multiset where the multiplicity of an element is the sum of multiplicities in P and Q. The union, intersection, and difference of P and Q are denoted by P ? Q. P ? Q, and P – Q. respectively (where these operations should not be confused with the analogous operations for sets). The sum of P and Q is denoted by P + Q.

Step-by-Step Solution:

SOLUTIONStep 1The successor of a set A is defined as Thus we can see that we are adding the set A to the set A.ie for example consider Therefore the successor Thus we are adding one more element to the original set .Therefore the successor of a set with n elements has n+1 elements.

Step 2 of 3

Chapter 2.2, Problem 60E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The full step-by-step solution to problem: 60E from chapter: 2.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 60E from 2.2 chapter was answered, more than 383 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. This full solution covers the following key subjects: element, Multiplicity, Where, multiset, elements. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “How many elements does the successor of a set with n elements have?Sometimes the number of times that an element occurs in an unordered collection matters, Multisets are unordered collections of elements where an element can occur as a member more than once. The notation (m1 a1, m2 a2,....,mr ar} denotes the multiset with element a1 occurring m1 times, element a2 occurring m2 times, and so on. The numbers mi, i = 1, 2,....,r are called the multiplicities of the elements ai, i = 1, 2,....,r.Let P and Q be multisets. The union of the multisets P and Q is the multiset where the multiplicity of an element is the maximum of its multiplicities in P and Q. The intersection of P and Q is the multiset where the multiplicity of an element is the minimum of its multiplicities in P and Q. The difference of P and Q is the multiset where the multiplicity of an element is the multiplicity of the element in P less its multiplicity in Q unless this difference is negative, in which case the multiplicity is 0. The sum of P and Q is the multiset where the multiplicity of an element is the sum of multiplicities in P and Q. The union, intersection, and difference of P and Q are denoted by P ? Q. P ? Q, and P – Q. respectively (where these operations should not be confused with the analogous operations for sets). The sum of P and Q is denoted by P + Q.” is broken down into a number of easy to follow steps, and 255 words.

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