If the number of propet subset of a set is 63,then the number of elements of the set is what
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Answer:
It depends on your definition of proper subsets. Some definitions include the null subset as a proper subset of a set with contains at least one element. If you accept that defintion then the formula for calculating the number of proper subsets is 2^n-1 where n is the number of elements. The number of all possible subsets in 2^n but the subsets that contain all of the elements is not a proper subsets. So the formula for 2^n-1 = 63 yields a value for n=6.
If your definition of proper subsets does not include the null subset then the formula for calculating the number of proper subsets is 2^n-2 where n is the number of elements. The subsets that contain all of the elements and the one that contains no elements are not proper subsets. There is no value of n that would satisfy the equation 2^n-2 = 63.