discrete mathmetics Q1 Find a proposition with three variabl

discrete mathmetics

Q1. Find a proposition with three variables p. q and r hat is true when p and r are true and qis false, and false otherwise. Find a proposition with three variables p, q, and r that is true when at most one of the three variables is true, and false otherwise. Q 2. Q3. Find a proposition with three variables p. q, and r that is never true. (PAQARXAP.NG R,»gr.

Solution

2) (p ¬q ¬r) (¬p q ¬r) (¬p ¬q r)

3)(p ¬p) (q ¬q) (r ¬r)

4) (a) ¬p q

(b) ¬(p ¬q)

6)¬(¬p q)

9)¬(p ¬q)

Rest are correct