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No. of subsets = 2^n

= 2^3

= 2×2×2

= 8 subsets

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Tendo Mercy

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3y ago

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Related Questions

How many subsets in set 123456?

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.


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.


How many subsets have a set with 9 elements?

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


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)


What are the subsets of 1234567?

The subsets of the set {1, 2, 3, 4, 5, 6, 7} include all possible combinations of its elements, including the empty set and the set itself. In total, there are (2^n) subsets, where (n) is the number of elements in the set. For the set {1, 2, 3, 4, 5, 6, 7}, which has 7 elements, there are (2^7 = 128) subsets. These subsets range from the empty set {} to the full set {1, 2, 3, 4, 5, 6, 7}.


Can you form a formula that will tell how many subsets a set with union elements can have?

To find how many proper subsets there are in a set you can use the formula n^2 -n and if you would also like to find all subsets including improper the formula is n^2 -n +1


What are examples of subsets?

For example, if you take the set A = {1, 2}, then the following sets are all subsets of it: {}, {1}, {2}, {1, 2}. That is, all the sets that fulfill the condition that all of its elements are also elements of the set "A".


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 many subsets does set A have if the set A has 3 elements?

In a subset each element of the original may or may not appear - a choice of 2 for each element; thus for 3 elements there are 2 × 2 × 2 = 2³ = 8 possible subsets.


How many Subset are there in 1 2 3 4 5 6 7 8 9?

Well, honey, the number of subsets in a set with 9 elements is given by 2 to the power of 9, which equals 512. So, there are 512 subsets in the set {1, 2, 3, 4, 5, 6, 7, 8, 9}. Don't worry, I double-checked it just for you.


What are all the subsets of 123456?

The subsets of the set {1, 2, 3, 4, 5, 6} include all possible combinations of its elements, including the empty set. There are a total of (2^6 = 64) subsets, which range from the empty set to the full set itself. Some examples of subsets are {1}, {2, 3}, {4, 5, 6}, and {1, 2, 3, 4, 5, 6}. Each subset can vary in size from 0 to 6 elements.


How many subsets are there in 50 elements?

A set with 50 elements has 250 subsets.