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Q: How many subsets are there in universal set?

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8 subsets

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.

16

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)

Related questions

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

8 subsets

An element doesn't have subsets. Sets can have subsets.

Two. The set {x} has the subsets {} and {x}.

It is the set of all the things you are dealing with or considering. For example, if I am looking at subsets that are even integers and I am looking at all integers, then the set of all integers is the universal set. If we are looking at hair color, some subsets are redheads, blondes etc. The universal sets is the set of all possible hair colors.

The universal set is the outer rectangle and all subsets are circles or ovals. In terms of the Venn diagram, there is no difference between circles and ovals.

The empty set has only one subset: itself. It has no proper subsets.

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

Only a set can have subsets, a number cannot have subsets.

That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.

Once example is the whole numbers and subsets are the numbers 1,2 and 3 written {1,2,3}. Another example is all the colors. Subsets would be any number of individual colors. The universal set may be finite or infinite.

It depends on the set x. If set x is of cardinality n (it has n elements) then it has 2n subsets.

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