10. If n[p(A)] = 256, find n(A).
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Step-by-step explanation:
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
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]
Therefore,
m = n(A) = 8
Answered by
0
Answer:
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∧ = a^ then p = q ]
Therefore ,
m = n( A ) = 8
Step-by-step explanation:
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