Question

how many subsets of at least one element does a set of six elements have

Answer 1

The number of subsets of n elemnets = 2^n
but this also includes a null set, because a null set is a subset of every set

So in our problem = 2^6 -1 = 63 subsets
Choice B

Answer 2

Answer:  The required number of subsets is 63.

Step-by-step explanation:  We are given to find the number of  subsets of at least one element that a set of six elements have.

We know that

the number of subsets of a set having n elements is given by

$N=2^n.$

So, the number of subsets of the set having six elements will be

$N=2^6=64.$

Since there is only one subset of every set that contains less than one element (that is the empty set), so

the number of subsets of the set with at least one element is given by

$N-1=64-1=63.$

Thus, the required number of subsets is 63.