You have three choices at a time without repeats. To do this multiply 10x9x8=720. This will give you duplicates, so divide the result by 1x2x3.
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.
There are 6 such subsets of B.
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.
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.
If you have a set of 6 elements, you can make a total of 26 different subsets - including the empty set and the set itself.
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
A set with ( n ) elements has ( 2^n ) subsets. For the set ( {1, 2, 3, 4, 5, 6} ), which has 6 elements, the number of subsets is ( 2^6 = 64 ). Therefore, the set ( 123456 ) has 64 subsets.
give the total subset of set with 9 elements