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Q: What are the subsets of 0 and 1?
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How many subsets with more than two elements does a set with 100 elements have?

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)


How do you determine the list of all the subsets of sets?

If a set has N elements then it has 2N subsets. So you can see that a list of all subsets soon becomes a very big task. For reasonably small values of N, one way to generate all subsets is to list the binary numbers from 0 to 2N. Then, each of these represents a subset of the original set. If the nth digit is 0 then the nth element is not in the set and if the nth digit is 1 then the nth element is in the set. That will generate all the subsets.


What groups are subsets of integers?

Integer Subsets: Group 1 = Negative integers: {... -3, -2, -1} Group 2 = neither negative nor positive integer: {0} Group 3 = Positive integers: {1, 2, 3 ...} Group 4 = Whole numbers: {0, 1, 2, 3 ...} Group 5 = Natural (counting) numbers: {1, 2, 3 ...} Note: Integers = {... -3, -2, -1, 0, 1, 2, 3 ...} In addition, there are other (infinitely (uncountable infinity) many) other subsets. For example, there is the set of even integers. There is also the subset {5,7}.


How many subsets does the set 1 2 3 have?

thenumber of subsets = 8formula: number of subsets =2n; wheren is thenumber of elements in the set= 2n= 23= 8The subsets of 1,2,3 are:{ }, {1}, {2}, {3}, {1,2}, {2,3}, {1,3}, {1,2,3}


How many subsets are in a set with 5 members?

5 subsets of 4 and of 1, 10 subsets of 3 and of 2 adds up to 30.


What are the subsets of 1 2?

{}, {1}, {2} and {1,2}


What are the subsets of the numbers range 1-31?

32


What are the 6 sets of real number?

There are infinitely many subsets of Real numbers. In fact, there are infinitely many subsets of all the Reals in the interval [0,1]. For example, pick any number, x such that 0<x<1. Then the subset [0,x] is a subset and x can be chosen in infinitely many ways.


What is the definition of subsets and proper subsets?

meaning of proper subsets


Prove that A contains N elements and the different subsets of A is equal to 2?

Assuming the question is: Prove that a set A which contains n elements has 2n different subsets.Proof by induction on n:Base case (n = 0): If A contains no elements then the only subset of A is the empty set. So A has 1 = 20 different subsets.Induction step (n > 0): We assume the induction hypothesis for all n smaller than some arbitrary number k (k > 0) and show that if the claim holds for sets containing k - 1 elements, then the claim also holds for a set containing k elements.Given a set A which contains k elements, let A = A' u {.} (where u denotes set union, and {.} is some arbitrary subset of A containing a single element no in A'). Then A' has k - 1 elements and it follows by the induction hypothesis that (1) A' has 2k-1 different subsets (which also are subsets of A). (2) For each of these subsets we can create a new set which is a subset of A, but not of A', by adding . to it, that is we obtain an additional 2k-1 subsets of A. (*)So by assuming the induction hypothesis (for all n < k) we have shown that a set A containing kelements has 2k-1 + 2k-1 = 2k different subsets. QED.(*): We see that the sets are clearly subsets of A, but have we covered all subsets of A? Yes. Assume we haven't and there is some subset S of A not covered by this method: if S contains ., then S \ {.} is a subset of A' and has been included in step (2); otherwise if . is not in S, then S is a subset of A' and has been included in step (1). So assuming there is a subset of A which is not described by this process leads to a contradiction.


How many subsets have exactly two elements Given that B 1 2 3 4?

There are 6 such subsets of B.


How many subsets does a set of an elements have?

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