a={0,2,4) how many possible subsets for a?

Answer 1

Think of it this way... you can include each element, or exclude it. 2 choices for each element.

2 x 2 x 2 = 8 ways.

In general, a set with n elements can form 2^n different subsets. Of course that includes the empty set, so if you need subsets with at least one element, the answer is 2^n - 1.

0 elements:
{ }
1 element:
{0}, {2}, {4}
2 elements:
{0,2}, {0, 4}, {2, 4}
3 elements:
{0, 2, 4}

Total of 8 subsets.

Answer 2

3

Answer 3

Well, they are Ø, { 0 }, { 2 }, { 4 }, { 0, 2 }, { 0 , 4 }, { 2, 4 }, and { 0, 2, 4 } for a total of eight (seven of which are proper subsets).

Answer 4

2^3 or 8.
Possible subsets are
{null},{0},{2},{4},{0,2},{0,4},{2,4},{0,2,4}

Answer 5

there are 8 subsets
0
2
4
0,2,4
0,2
0,4
2,4
and empty set

10 pts