Question

(i) If n(A) = 4, find n[P(A)].
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Answer 1

Generally the formula for finding the power of a set is 2^n where n is the number of elements in the given set.

So here n=2

So 2^2=4 is cardinal of P ( means number of max subsets)

Power of a set = the maximum number of subset you can get from that set.

Here power is 4 means you can get 4 subsets i.e. P(A)={{},{1},{2},{1,2}}

Remember empty set is a subset of every set.Another example:

B={1,2,3}

P(B)={ {},{1},{2},{3},{1,2},{2,3},{1,3}{1,2,3}}

In formula here n=3

So 2^3=8 and if you notice total number of subset is 8.

Answer 2

Answer:

16

Step-by-step explanation:

n(A) =4

n[P(A) ] = 2^n

n[P(A)] =2^4 => 16

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