must the truth tables for (~r ^ q) v ~p and (~q ^ p) v ~r have the same number of trues in their answer columns

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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must the truth tables for (~r ^ q) v ~p and (~q ^ p) v ~r have the same number of trues in their answer columns?
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Step 1

Here we have to draw truth table for both expressions.

We have to show that both expressions should contain same number of truths. 

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