Question

(a) If the number of proper subsets of a set is 63
then the number of elements of the set is -
​

Answer 1

$\underline{\fcolorbox{green}{pink}{ \huge{Correct Question :}}}$

If the number of proper subsets of a set is 64 , then the number of elements of the set is ?

$\underline{\fcolorbox{green}{pink}{ \huge{ Solution :}}}$

Given ,

The number of all subsets of a set is 64

We know that , the number of all subsets of set is given by

2^n , where n is the number of elements

Thus ,

64 = 2^n

2^6 = 2^n

Comparing the indices of 2 in both sides , we get

n = 6

Hence , the number of elements is 6