Question

If n[P(A)] = 256, find n(A)

Answer 1

n[P(A)]= 2^n(A)
therefore
256=2^8=2^n(A)
n(A)= 8

Answer 2

It is given that n[ P(A) ] = 256

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If number of elements in

Set A = n( A ) = m

Number of elements in power

set of A = n[P(A] then

n[ P(A) ] = 2^m

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Here ,

2^m = n[ P(A)]

=> 2^m = 256 [ given ]

=> 2^m = 2^8

=> m = 8

[ Since , If a^p = a^q then p = q ]

Therefore ,

m = n( A ) = 8

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