Question

Without writing them all out, what is the number of subsets of set B = {10, 12, 14, 16, 18, 20, 22, 24}?

Answer 1

i always gotta count them out; i know theres a trick with 2^ something + something else; but i never remember it lol

Answer 2

set of 0 {}
sets of 1 = 8
sets of 2s = 7+6+5+4+3+2

after that it gets messy

Answer 3

sets of 8: 1
sets of 7: 8
sets of 6: .... this things going to be the binomials of row 8 isnt it ....

Answer 4

1
11
121
1331
14641
15101051
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1

1 8 28 56 70
1 8 28 56
------------
2 16 56 112 70

18 56 112 70

74 70 112

144
112

256 maybe lol

Answer 5

wow!! I was actually right on that

Answer 6

The number of subsets of a given set of n elements is 2^n because an element is either in the set or not in the set. For this example, 2^8 = 256. That includes the entire set and the empty set.

I agree with the poster above: When in doubt, count them out, and get the number.