Question
$(p\ \&\ q)\ V\ \sim\ (p\ \&\ q)$

Answer

Truth table:
  $1$ $2$ $3$ $4$ $5$
$p$ $q$ $p\ \&\ q$ $\sim (p\ \&\ q)$ $(p\ \&\ q)\ V\ \sim (p\ \&\ q)$
$1$ $T$ $T$ $T$ $F$ $T$
$2$ $T$ $F$ $F$ $T$ $T$
$3$ $F$ $T$ $F$ $T$ $T$
$4$ $F$ $F$ $F$ $T$ $T$
  $1, 2 (\&)$ $3 (\sim )$ $3, 4 (V)$
Decision of the type of form for the statement: Looking at the fact sheet above, it will be seen that the representation of the given form for the statement is in column no. Done in $5.$ All rows in this column have the same $‘T’.$ This means that all the substitutions for this form of statement are true. So it is clear that this form of statement is ‘tadevarthak'.

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