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I presume you meant 2^n (2 raised to the nth power), not 2*n (2 times n). That's answers.com's character set problem again (I trust, giving you the benefit of the doubt).
The answer is that for each of the n elements, it is either in any particular subset or it isn't. Which elements are in and which are not in a subset defines the subset. So for example, if n is 3, say a, b, and c, there are 2 sub-collections of the set of all subsets: those containing a and those not containing a. In each of those sub-collections, there are 2 sub-collections based on whether they contain b, for a total of 4 (2*2) sub-collections. Finally, of each of these 4, there are 2 subsets: those containing c and those not containing c, for a total of 8 (2*2*2 or 2^3) subsets. Got it?
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What is the number of proper subsets of a given finite set with n element?
2n - 1
How many subsets are there in a set?
The number of subsets of a given set, including the set itself and the empty set, is 2n. Easiest way to see why: to make a particular subset, for each element in the original set you either chhose it or you don't. There are thus two possibilities for each element, so 2n possibilities for all n elements.
How many subsets does a set of n elements have?
2n. SeeHow_many_subsets_are_there_in_12_elements
What is the Formula for the number of subsets in a set?
If the set has n elements, the number of subsets (the power set) has 2n members.
How many subsets does a set N element have?
Well, honey, a set with "n" elements has 2 to the power of "n" subsets. So, if you've got a set with 5 elements, you're looking at 2 to the power of 5, which is 32 subsets. Math doesn't have to be boring, darling!
What is the number of proper subsets of a given finite set with n element?
2n - 1
How many proper subsets does a set with four elements have?
A set with n elements has 2n subsets. The number of proper subsets is one less, since 2n includes the set itself.
How do you get the number of the subsets in a set?
A finite set with N distinct elements has 2N subsets.
How many subsets are there in a set?
The number of subsets of a given set, including the set itself and the empty set, is 2n. Easiest way to see why: to make a particular subset, for each element in the original set you either chhose it or you don't. There are thus two possibilities for each element, so 2n possibilities for all n elements.
How many subsets does a set of n elements have?
2n. SeeHow_many_subsets_are_there_in_12_elements
How many subsets are there in universal set?
If the universal set contains N elements then it has 2N subsets.
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 is the Formula for the number of subsets in a set?
If the set has n elements, the number of subsets (the power set) has 2n members.
What determines the number of subsets in a set?
The number of elements. A set with n elements has 2n subsets; for example, a set with 5 elements has 25 = 32 subsets.
How many subsets does a set N element have?
Well, honey, a set with "n" elements has 2 to the power of "n" subsets. So, if you've got a set with 5 elements, you're looking at 2 to the power of 5, which is 32 subsets. Math doesn't have to be boring, darling!
How do you determine the number of subsets in relation to the universal set?
If the universal set, U, has N elements then it has 2N subsets.
What does find the number of subsets mean?
That means, figure out how many different subsets a set has. In general, if a set has n elements, it has 2n different subsets.
