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Discrete Mathematics | 1st Edition | ISBN: 9781577667308 | Authors: Gary Chartrand, Ping Zhang
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Let P be a partition of a set S containing elements a and b. Suppose that A is a set in

Chapter 2, Problem 4

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QUESTION:

Let P be a partition of a set S containing elements a and b. Suppose that A is a set in P that contains a and B is a set in P that contains b. (a) If b A, then what is A B? (b) If b / A, then what is A B?

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QUESTION:

Let P be a partition of a set S containing elements a and b. Suppose that A is a set in P that contains a and B is a set in P that contains b. (a) If b A, then what is A B? (b) If b / A, then what is A B?

ANSWER:

Problem 4

Let  be a partition of a set  containing elements  and . Suppose that  is a set in  that contains  and  is a set in P that contains .

     a. If, then what is ?

     b. If , then what is ?

                                                           Step By Step Solutions

Step 1 of 3

A partition , of a set , is

     1. a collection of non-empty subsets of  and

     2. every element of S is exactly one of the subsets in .

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