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

translate k to n and reflect across the line containing jk.

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: