There are 6 such subsets of B.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
6
6
It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.
In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.
For a set with ( n ) elements, the number of possible subsets is given by ( 2^n ). Therefore, with 7 elements, the number of subsets is ( 2^7 ), which equals 128. This includes the empty set and the set itself as subsets.
If the set has n elements then it has 2n subsets.
The set ( ABC ) has 3 elements. The number of subsets of a set with ( n ) elements is given by ( 2^n ). Therefore, for the set ( ABC ), the number of subsets is ( 2^3 = 8 ). This includes the empty set and all combinations of elements.
An element doesn't have subsets. Sets can have subsets.
512 subsets
8 subsets
A set with 9 elements has 2^9 = 512 subsets.
A set with 50 elements has 250 subsets.
The number of subsets that can be formed from a set with ( n ) elements is given by ( 2^n ). This includes all possible combinations of the elements, ranging from the empty set to the set itself. For example, a set with 3 elements has ( 2^3 = 8 ) subsets.
7.
If the universal set contains N elements then it has 2N subsets.
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.