Propositional Logic

Question

Number of nonequivalent propositional functions ( different truth tables ) possible with 'n' atomic propositions is ? and explain also

a)  $2^n$

b) $n^2$

c) 2^2^n  (means 2 raise to power 2 raise to power n)

d) 2^n^2

Comments

There are $2^n$ possible combinations of truth values of particular propositions, we have two choices for the truth values.

So, we have total of $2^{2^n}$

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$2^{2^n}$
With $n$ prepositions $2^n$ combinations are possible.
And each combination has $2$ choices- true or false.