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Question
If n[P(A)] = 256, find n(A)
Sum
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Solution
n[P(A)] = 256
It is given that n[ P(A) ] = 256
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
**************************************
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 ]
∴ m = n( A ) = 8
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Chapter 1: Set Language - Exercise 1.2 [Page 12]
