Find the number of subsets of the given set. {math, English, history, science, art}
Is this correct:
1. {}
2. {math}
3. {English}
4. {history}
5. {science}
6. {art}
7. {m, E}
8. {m,h}
9. {m, s}
10. {m, a}
11. {e, h}
12. {e, s}
13. {e, a}
14. {h, s)
15. {h, a}
16. {s, a}
17. {m, E, h, s, a}
To find the number of subsets of a given set, you can use the formula 2^n, where n is the number of elements in the set. In this case, the given set has 5 elements: {math, English, history, science, art}.
To find the number of subsets, we can use the formula 2^n. So, we have:
2^5 = 32
Therefore, there are 32 subsets of the given set.
Note that the subsets you listed are not all correct. Let's go through them to correct any mistakes:
1. This represents the empty set {}.
2. This represents the subset {math}.
3. This represents the subset {English}.
4. This represents the subset {history}.
5. This represents the subset {science}.
6. This represents the subset {art}.
7. This represents the subset {math, English}.
8. This represents the subset {math, history}.
9. This represents the subset {math, science}.
10. This represents the subset {math, art}.
11. This represents the subset {English, history}.
12. This represents the subset {English, science}.
13. This represents the subset {English, art}.
14. This represents the subset {history, science}.
15. This represents the subset {history, art}.
16. This represents the subset {science, art}.
17. This represents the subset {math, English, history, science, art}.
So, there are 17 correct subsets out of the 32 total subsets.