Question

If n[p(a)]=64,then n(a)=?

Answer 1

Hi ,

If A is a set.

n(A) is called cardinal number of the set A = number of elements in set A

P(A ) is called power set of A.

Power set = p(A) = set of all subsets of set A

We now that

If number of elements in set A = n

n(A) = n

Number of subsets of power set

= 2 ^n

Given

P[ n(A)] = 64

2^n = 64

2 ^n = 2 ^6

Therefore,

n = 6

Since if a ^m = a ^n then m = n.

Number of elements in set A = n = 6

I hope this will useful to you.

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Answer 2

Answer:

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