how many subsets does the set {1,2,3,4,5} have?

In this problem you are given 5 data points and has no repeating elements. The number of subsets is calculated by

2^n

where n is the number of elements in your set.

since there are 5 elements in your set you would have 2^5 subsets or 32.
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What does the ^ stand for in 2^n?
Since this question was already answered, I'll show you the actual subsets in the set {1,2,3,4,5}.

{1}, {2}, {3}, {4}, {5}

{1,2}, {1,3}, {1,4}, {1,5)

{2,3}, {2,4}, {2,5}

{3,4}, {3,5) {4,5}

{1,2,3}, {1,2,4}, {1,2,5}, {1,3,4}, {1,3,5}, {1,4,5}

{2,3,4}, {2,3,5}, {2,4,5}, {3,4,5}

{1,2,3,4}, {1,2,3,5},{1,2,4,5), {1,3,4,5}, {2,3,4,5}

{1,2,3,4,5}

{ }

Count it.
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37 subsets thats the right answer
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32 subsets and 31 proper subsets

Once you find the amount of subsets, you -1 and you get the Proper subsets.
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32 is the possible subsets of {1,2,3,4,5}

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{1,2,3,4,5} =2.2.2.2.2=32 ={ },{1},{2},{3},{4},{5} {1,2},{1,3},{1,4},{1,5}{2,3},{2,4},{2,5},{3,4},{3,5},{4,5} {1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5},{3,4,5} {1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5},{?} {1,2,3,4,5}

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{1}, {2}, {3}, {4}, {5}

{1,2}, {1,3}, {1,4}, {1,5)

{2,3}, {2,4}, {2,5}

{3,4}, {3,5) {4,5}

{1,2,3}, {1,2,4}, {1,2,5}, {1,3,4}, {1,3,5}, {1,4,5}

{2,3,4}, {2,3,5}, {2,4,5}, {3,4,5}

{1,2,3,4}, {1,2,3,5},{1,2,4,5), {1,3,4,5}, {2,3,4,5}

{1,2,3,4,5}

{ }

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{1,2,3,4,5} =2.2.2.2.2=32 ={ },{1},{2},{3},{4},{5} {1,2},{1,3},{1,4},{1,5}{2,3},{2,4},{2,5},{3,4},{3,5},{4,5} {1,2,3},{1,2,4},{1,2,5},{1,3,4},{1,3,5},{1,4,5},{2,3,4},{2,3,5},{3,4,5} {1,2,3,4},{1,2,3,5},{1,2,4,5},{1,3,4,5},{2,3,4,5},{?} {1,2,3,4,5}
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The formula for calculating the number of subsets of a set is 2 ^ nth power, where n is the number of elements in the set. There are 5 elements in this set, so 2 ^ 5 = 32. There are 32 subsets for the given set.
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