Question 714308: I am having trouble with subsets can you help me and tell me if i am on the right track?: list all the subsets of Q={2,4,6,8,10,12}
here is what I have so far:
{2} {2,4}
{4} {2,6}
{6} {2,8}
{8} {2,10}
{10} {2,12}
{12}
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! List all the subsets that have 0 elements, 1 element, 2 elements, 3 elements, etc until you reach 6 like so
List of Subsets with Six Elements: Empty Set {}
List of Subsets with One Element: {2}, {4}, {6}, {8}, {10}, {12}
List of Subsets with Two Elements: {2, 4}, {2, 6}, {2, 8}, {2, 10}, {2, 12}, {4, 6}, {4, 8}, {4, 10}, {4, 12}, {6, 8}, {6, 10}, {6, 12}, {8, 10}, {8, 12}, {10, 12}
List of Subsets with Three Elements: {2, 4, 6}, {2, 4, 8}, {2, 4, 10}, {2, 4, 12}, {2, 6, 8}, {2, 6, 10}, {2, 6, 12}, {2, 8, 10}, {2, 8, 12}, {2, 10, 12}, {4, 6, 8}, {4, 6, 10}, {4, 6, 12}, {4, 8, 10}, {4, 8, 12}, {4, 10, 12}, {6, 8, 10}, {6, 8, 12}, {6, 10, 12}, {8, 10, 12}
List of Subsets with Four Elements: {2, 4, 6, 8}, {2, 4, 6, 10}, {2, 4, 6, 12}, {2, 4, 8, 10}, {2, 4, 8, 12}, {2, 4, 10, 12}, {2, 6, 8, 10}, {2, 6, 8, 12}, {2, 6, 10, 12}, {2, 8, 10, 12}, {4, 6, 8, 10}, {4, 6, 8, 12}, {4, 6, 10, 12}, {4, 8, 10, 12}, {6, 8, 10, 12}
List of Subsets with Five Elements: {2, 4, 6, 8, 10}, {2, 4, 6, 8, 12}, {2, 4, 6, 10, 12}, {2, 4, 8, 10, 12}, {2, 6, 8, 10, 12}, {4, 6, 8, 10, 12}
List of Subsets with Six Elements: {2, 4, 6, 8, 10, 12}
If you count up the individual sets, you'll find that there are 64 different sets. You can also use the formula 2^n to get 2^6 = 64
So again, there are 64 different possible subsets of {2, 4, 6, 8, 10, 12}
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