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(Fill in the blanks) A tautology is a proposition which - A contradiction is a proposition which The contrapositive of the conditional P = Q is the conditional • True or False? The contrapositive of P = Q Q is logically equivalent to P = Q. • The converse of the conditional P = Q is the conditional

(Fill in the blanks) A tautology is a proposition which - A contradiction is a proposition which The contrapositive of the conditional P = Q is the conditional • True or False? The contrapositive of P = Q Q is logically equivalent to P = Q. • The converse of the conditional P = Q is the conditional

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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• (Fill in the blanks) A tautology is a proposition which • A contradiction is a proposition which • The contrapositive of the conditional P Q is the conditional • True or False? The contrapositive of P = Qis logically equivalent to P = Q. • The converse of the conditional P Q is the conditional • The converse of P → Qis always logically equivalent to P » Q. • The negation of the conditional P = Q is the proposition • State de Morgan's laws for propositions P and Q: ¬(P V Q) ¬(PA Q) + Exercises 2.1.1 Express each of the following statements in the "If ..., then ..." form. There are many possible correct answers. (a) You must eat your dinner if you want to grow. (b) Being a multiple of 12 is a sufficient condition for a number to be even. (c) It is necessary for you to pass your exams in order for you to obtain a degree. (d) A triangle is equilateral only if all its sides have the same length.
Transcribed Image Text:• (Fill in the blanks) A tautology is a proposition which • A contradiction is a proposition which • The contrapositive of the conditional P Q is the conditional • True or False? The contrapositive of P = Qis logically equivalent to P = Q. • The converse of the conditional P Q is the conditional • The converse of P → Qis always logically equivalent to P » Q. • The negation of the conditional P = Q is the proposition • State de Morgan's laws for propositions P and Q: ¬(P V Q) ¬(PA Q) + Exercises 2.1.1 Express each of the following statements in the "If ..., then ..." form. There are many possible correct answers. (a) You must eat your dinner if you want to grow. (b) Being a multiple of 12 is a sufficient condition for a number to be even. (c) It is necessary for you to pass your exams in order for you to obtain a degree. (d) A triangle is equilateral only if all its sides have the same length.
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