let A={12, 13, 14,15,16,18 } what is the subset of a
A has how many subset
B has ------ subset
Math elements
I think you are missing part of your question for B.
A can be a subset of itself, so it would include everything
The null or empty set is also a subset.
Each number could be in its own subset.
We are up to 8 subsets.
Also, we could take two numbers at a time to make unique subsets you would use combinations to do that. 6!/(2!4!)
Then you could take three numbers at a time: 6!/(3!3!)
Then you could take four numbers at a time: 6!/(4! 2!)
Finally, you could take five numbers at a time: 6!(5!1!)
Sum all of these and you will get the total number of subsets for A.
The subset of set A is a collection of all possible combinations of elements from set A.
The subsets of set A are:
1. { } (empty set)
2. {12}
3. {13}
4. {14}
5. {15}
6. {16}
7. {18}
8. {12, 13}
9. {12, 14}
10. {12, 15}
11. {12, 16}
12. {12, 18}
13. {13, 14}
14. {13, 15}
15. {13, 16}
16. {13, 18}
17. {14, 15}
18. {14, 16}
19. {14, 18}
20. {15, 16}
21. {15, 18}
22. {16, 18}
23. {12, 13, 14}
24. {12, 13, 15}
25. {12, 13, 16}
26. {12, 13, 18}
27. {12, 14, 15}
28. {12, 14, 16}
29. {12, 14, 18}
30. {12, 15, 16}
31. {12, 15, 18}
32. {12, 16, 18}
33. {13, 14, 15}
34. {13, 14, 16}
35. {13, 14, 18}
36. {13, 15, 16}
37. {13, 15, 18}
38. {13, 16, 18}
39. {14, 15, 16}
40. {14, 15, 18}
41. {14, 16, 18}
42. {15, 16, 18}
43. {12, 13, 14, 15}
44. {12, 13, 14, 16}
45. {12, 13, 14, 18}
46. {12, 13, 15, 16}
47. {12, 13, 15, 18}
48. {12, 13, 16, 18}
49. {12, 14, 15, 16}
50. {12, 14, 15, 18}
51. {12, 14, 16, 18}
52. {12, 15, 16, 18}
53. {13, 14, 15, 16}
54. {13, 14, 15, 18}
55. {13, 14, 16, 18}
56. {13, 15, 16, 18}
57. {14, 15, 16, 18}
58. {12, 13, 14, 15, 16}
59. {12, 13, 14, 15, 18}
60. {12, 13, 14, 16, 18}
61. {12, 13, 15, 16, 18}
62. {12, 14, 15, 16, 18}
63. {13, 14, 15, 16, 18}
64. {12, 13, 14, 15, 16, 18}
So, set A has a total of 64 subsets.
As for set B, since you haven't provided any elements, it's not possible to determine the number of subsets it has.
To find the subsets of a set, you can use the formula 2^n, where n is the number of elements in the set.
In this case, set A has 6 elements: {12, 13, 14, 15, 16, 18}.
Therefore, the number of subsets of A can be found using the formula 2^6 = 64.
So, set A has 64 subsets.
Now, you mentioned another set B, but you didn't provide its elements. If you can provide the elements of set B, I can help you determine the number of subsets for it as well.