Question

(i) If n(A) = 4, find n[P(A)]. (ii) If n(A)=0, find n[P(A)]. (iii) If n[P(A)] = 256, fi
nd n(A).

Answer 1

Answer:

here,

1st case

$n(a) = 4 \\ n(p(a)) = {2}^{4} = 16$

2nd case

$n(a) = 0 \\ n(p(a)) = {2}^{0} = 1$

3rd case

Step-by-step explanation:

$n(p(a)) = 256 \\ we \: know \\ n(p(a)) = {2}^{n} \\ > 256 = {2}^{n} \\ > n = log_{2}(256) = log_{2}( {2}^{8} ) = 8 log_{2}(2) = 8 \times 1 = 8$

hope This helps

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