Question

If n(A)=0, find n[P(A)]

Answer 1

If A contains m elements then P(A) contains 2^m elements.

That is
If n(A) = m then n[P(A)] = 2^m

Given: n(A) = 0

Then n[P(A)] = 2^ 0 = 1

I hope this answer helps you

Answer 2

It is given that n( A ) = 0

********************************

If number of elements in

set A

[cordinal number of set A=n(A)]

is m , then number elements in

power set n[ P(A) ] = 2^m

**************************************

Here , m = 0

n( A ) = 0,

n[ P( A ) ] = 2^0

= 1

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