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Q: How many subsets does 6 elements have?

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8 subsets

If the universal set contains N elements then it has 2N subsets.

give the total subset of set with 9 elements

Since 213 = 8192, there are 8192 elements in the set.

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)

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6

6

512 subsets

8 subsets

Elements belong to subsets: subsets contain elements (from the parent set).

A set with 9 elements has 2^9 = 512 subsets.

There are 6 such subsets of B.

Elements can belong to subsets. Subsets can be elements of sets that are called "power sets".

7.

2^50=1.125899907*10^15

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.

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