Question
If students do not study the result is spoiled and the school feels stigmatized.
Students do not study so the result is bad and the school feels stigmatized.

Answer

Hint: $P =$ students study.
$Q =$ The result is bad.
$R =$ School feels stigmatized.
Symbolic representation of the argument:
$~ P\rightarrow(Q\ \&\ R)$
$~ P$
$\therefore\ Q\ \&\ R$
Combining the two bases of the argument as a whole, the argument will be as follows:
$[\sim P\rightarrow(Q\ \&\ R)]\ \&\ \sim P$
$\therefore\ Q\ \&\ R$
Truth Table:
  Support Statement The resulting statement
  $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$
$P$ $Q$ $R$ $\sim P$ $Q \&  R$ $\sim P\rightarrow(Q \& R)$ $[\sim P\rightarrow (Q \& R)] \& \sim P$ $Q\ \&\ R$
$1$ $T$ $T$ $T$ $F$ $T$ $T$ $F$ $T$
$2$ $T$ $T$ $F$ $F$ $F$ $T$ $F$ $F$
$3$ $T$ $F$ $T$ $F$ $F$ $T$ $F$ $F$
$4$ $T$ $F$ $F$ $F$ $F$ $T$ $F$ $F$
$5$ $F$ $T$ $T$ $T$ $T$ $T$ $T^*$ $T^*$
$6$ $F$ $T$ $F$ $T$ $F$ $F$ $F$ $F$
$7$ $F$ $F$ $T$ $T$ $F$ $F$ $F$ $F$
$8$ $F$ $F$ $F$ $T$ $F$ $F$ $F$ $F$
  $1 (\sim )$ $2 3 (\&)$ $4, 5(\rightarrow)$ $6, 4 (\&)$ As $5$
Judgment of the validity of the argument: A total of eight columns have been formed in the above fact sheet. In which the column no. $7th$ column and column no. $8$ is the introduction of the result statement. Out of a total of eight rows of the truth table, only rows. The base statement in $5$ is the truth $‘T’$ and the resulting statement in the same row is also the truth $‘T’.$ Hence this argument is standard.

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