If you start with a set with only one element [16187191] then there can be only one proper subset: the empty set.
There are 7 days in a week, which means the total number of subsets of the set of days is (2^7 = 128). However, proper subsets exclude the empty set and the set itself, so the number of proper subsets is (128 - 2 = 126). Therefore, there are 126 proper subsets that can be made out of the days of the week.
2n - 1
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
If the set has n elements, the number of subsets (the power set) has 2n members.
To determine the number of possible subsets of a set, you can use the formula (2^n), where (n) is the number of elements in the set. If "ApIck" refers to a set with a specific number of elements, substitute that value for (n) to find the number of subsets. For example, if "ApIck" has 3 elements, it would have (2^3 = 8) subsets. If the number of elements is unknown, the total number of possible subsets cannot be calculated.
meaning of proper subsets
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
There are 7 days in a week, which means the total number of subsets of the set of days is (2^7 = 128). However, proper subsets exclude the empty set and the set itself, so the number of proper subsets is (128 - 2 = 126). Therefore, there are 126 proper subsets that can be made out of the days of the week.
2n - 1
To get the number of subsets of size less than 2:Total number of subsets of a set of size N is 2NTotal number of subsets of size 1 is 100Total number of subsets of size 0 is 1Total number of subsets of size 2 is 100*99/2 = 4950Sum up: 100 + 1 + 4950 = 5051Subtract this from total subsets: 2100 - 5051 (Answer)
The empty set has only one subset: itself. It has no proper subsets.
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
Only a set can have subsets, a number cannot have subsets.
If the set is of finite order, that is, it has a finite number of elements, n, then the number of subsets is 2n.
If the set has n elements, the number of subsets (the power set) has 2n members.
To determine the number of possible subsets of a set, you can use the formula (2^n), where (n) is the number of elements in the set. If "ApIck" refers to a set with a specific number of elements, substitute that value for (n) to find the number of subsets. For example, if "ApIck" has 3 elements, it would have (2^3 = 8) subsets. If the number of elements is unknown, the total number of possible subsets cannot be calculated.
The number 8 is not a set and so cannot have any subsets. The set consisting of the number 8 is a set and, since it has only one element in it, it has two subsets: itself and the null set.