Question

the number of sub sets of A is 64 then write the elements of Athe number of subsets of a is equal to 64 then write the number of elements of ​

Answer 1

SOLUTION

TO DETERMINE

The number of elements in A if A has 64 subsets

CONCEPT TO BE IMPLEMENTED

If a set A contains n elements then the number of subsets of A $\sf = {2}^{n}$

EVALUATION

Let the number of elements in A = n

We know that if a set A contains n elements then the number of subsets of A $\sf = {2}^{n}$

Now it is given that A has 64 subsets

So by the given condition

$\sf {2}^{n} = 64$

$\sf \implies {2}^{n} = {2}^{6}$

$\sf \implies n = 6$

FINAL ANSWER

The number of elements in A = 6

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