retagged by
8,777 views
2 votes
2 votes

How many different truth tables of the compound propositions are there that involve the propositions $p$ & $q$ ? 

  1. $2$ 
  2. $4$ 
  3. $8$ 
  4. $16$ 
retagged by

3 Answers

Best answer
4 votes
4 votes
Number of different truth table means number of different functions possible with p and q. ...

Now any truth table will contain 4 rows as there are two propositions for which we are making the truth table p and q. ..

Now number of different functions will be the number of ways this 4 rows will be assigned values. ..each row can either be 0 or 1....therefore total possibility equals 2^4= 16

Therefore option d
selected by
2 votes
2 votes

since there are 2 variables p and q   formula is 22^n   so ans is 22^2=24=16 ans is D

few copound proposition are as given below

pvq  ,   p xor q, p nor q , p and q , ~ p , ~ q, p nand q  ,    p  ,   q  and so on...

0 votes
0 votes

No of different truth tabmes is 2n2

here n=2 so 24  = 16

Answer:

Related questions

3 votes
3 votes
2 answers
1
1 votes
1 votes
2 answers
3
0 votes
0 votes
2 answers
4
makhdoom ghaya asked Jul 1, 2016
3,365 views
Match the following $:$$\begin{array} {cIcI} & \textbf{List – I} && \textbf{List – II} \\ \text{a.} & \text{DDL} & \text{i.} & \text{LOCK TABLE} \\ \text{b.} & \tex...