Aset contains nine elements.
a) how many subsets does it have?
b) how many proper subsets does it have?
a) the set has _ subsets. (simplify your answer.)

a) The set has 512 subsets.

b) The set has 511 proper subsets.

Step-by-step explanation:

a) The set has 512 subsets.

Reason:

Number of all subsets of a set containing n elements is 2^n subsets,

Then the number of all subsets of a set containing 9 elements is:

2^n=2^9

=2*2*2*2*2*2*2*2*2

=512 subsets.

b) The set has 511 proper subsets.

Reason:

Number of proper subsets of a set containing n elements is 2^n-1 proper subsets,

Then the number of proper subsets of a set containing 9 elements is:

2^n -1 = 2^9 -1

=2*2*2*2*2*2*2*2*2 -1

=512-1

=511 proper subsets

good bye

step-by-step explanation:

the answer is two. hope this !