Question

Fill in the blank.
Ifn(A) = 1, then n(P(P(P(A))))= ...​........

Answer 1

Answer:

$\bf\,n[P(P(P(A)))]=16$

Step-by-step explanation:

$\textbf{Given: }$

$n(A)=1$

$\textbf{Concept used:}$

$\boxed{\text{If }n(A)=m,\:\text{then }n[P(A)]=2^m}$

$\implies\:n[P(A)]=2^1=2$

$\implies\:n[P(P(A))]=2^2=4$

$\implies\:n[P(P(P(A)))]=2^4=16$

$\implies\:\boxed{\bf\,n[P(P(P(A)))]=16}$