List all subsets for (m,a,t,h)

you should really try this yourself

list all of them

3 at a time
2 at a time
1 at a time
the null set

you should get 2^4 or 16

i got 14

To list all subsets of the set (m, a, t, h), we can use the concept of binary representation. Each binary digit can represent the presence (1) or absence (0) of each element in the set.

In this case, we have four elements (m, a, t, h), which means we will have 2^4 = 16 subsets, including the empty set.

To list all subsets, we can iterate through the numbers from 0 to 15 (in binary form) and interpret them as subsets based on their binary representation.

Here is the list of all subsets for the set (m, a, t, h):

- Subset 1: ( )
- Subset 2: (m)
- Subset 3: (a)
- Subset 4: (a, m)
- Subset 5: (t)
- Subset 6: (t, m)
- Subset 7: (t, a)
- Subset 8: (t, a, m)
- Subset 9: (h)
- Subset 10: (h, m)
- Subset 11: (h, a)
- Subset 12: (h, a, m)
- Subset 13: (h, t)
- Subset 14: (h, t, m)
- Subset 15: (h, t, a)
- Subset 16: (h, t, a, m)

To obtain these subsets, we consider the binary representation of the numbers from 0 to 15:

0 = 0000
1 = 0001
2 = 0010
3 = 0011
4 = 0100
5 = 0101
6 = 0110
7 = 0111
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
13 = 1101
14 = 1110
15 = 1111

For each binary digit, if it is '1,' we include the element at that corresponding position from the set (m, a, t, h). If it is '0,' we exclude that element.

Hope this helps! Let me know if you have any further questions.