(a) All you know about two sets S and T is that they are subsets of the universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are all of the different possible values of |P(SNT)I, the size of the power set of the intersection of S and T?

(a) All you know about two sets S and T is that they are subsets of the universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are all of the different possible values of |P(SNT)I, the size of the power set of the intersection of S and T?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Problem 5. Miscellaneous!
(a) All you know about two sets S and T is that they are subsets of the
universal set U = {1,2,3,4, 5, 6}, and that |S| = 5 and |T| = 3. What are
all of the different possible values of |P(SNT)|, the size of the power set of
the intersection of S and T?
(b) Determine, with explanation, whether the following statement is true or
false:
Vx € Z, [x – 0.5] < [¤]
(c) Let R be the relation on the set S = Z given by
R= {(a,b) | a – b= 1}.
Determine, with explanation, whether R is transitive.

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