Given that B=(3,a,b,c,d,) find the power set of B
The power set of a set is the set of all possible subsets of the original set.
For the set B = {3, a, b, c, d}, the power set would have 2^5 = 32 subsets.
Here is the complete power set of B:
1. Empty set: {}
2. Set with only 3: {3}
3. Set with only a: {a}
4. Set with only b: {b}
5. Set with only c: {c}
6. Set with only d: {d}
7. Set with only 3 and a: {3, a}
8. Set with only 3 and b: {3, b}
9. Set with only 3 and c: {3, c}
10. Set with only 3 and d: {3, d}
11. Set with only a and b: {a, b}
12. Set with only a and c: {a, c}
13. Set with only a and d: {a, d}
14. Set with only b and c: {b, c}
15. Set with only b and d: {b, d}
16. Set with only c and d: {c, d}
17. Set with only 3, a, and b: {3, a, b}
18. Set with only 3, a, and c: {3, a, c}
19. Set with only 3, a, and d: {3, a, d}
20. Set with only 3, b, and c: {3, b, c}
21. Set with only 3, b, and d: {3, b, d}
22. Set with only 3, c, and d: {3, c, d}
23. Set with only a, b, and c: {a, b, c}
24. Set with only a, b, and d: {a, b, d}
25. Set with only a, c, and d: {a, c, d}
26. Set with only b, c, and d: {b, c, d}
27. Set with only 3, a, b, and c: {3, a, b, c}
28. Set with only 3, a, b, and d: {3, a, b, d}
29. Set with only 3, a, c, and d: {3, a, c, d}
30. Set with only 3, b, c, and d: {3, b, c, d}
31. Set with only a, b, c, and d: {a, b, c, d}
32. B itself: {3, a, b, c, d}