SOLUTION: Calculate the number of distinct sunsets and the number of distict proper subsets for each set. {x|x element N and 2< x < or equal to 6}

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Question 985236: Calculate the number of distinct sunsets and the number of distict proper subsets for each set.
{x|x element N and 2< x < or equal to 6}
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

if 2%3C+x+%3C+=+6+, then set is
3%2C4%2C5%2C6
total number of distinct subsets is:
{}
{3}
{4}
{5}
{6}
{3, 4}
{3, 5}
{3, 6}
{4, 5}
{4, 6}
{5, 6}
{3, 4, 5}
{3, 4, 6}
{3, 5, 6}
{4, 5, 6}
{3, 4, 5, 6}
(total: 16)

Proper subset is a subset which is not the same as the original set itself; so,distinct proper subsets are
{}
{3}
{4}
{5}
{6}
{3, 4}
{3, 5}
{3, 6}
{4, 5}
{4, 6}
{5, 6}
{3, 4, 5}
{3, 4, 6}
{3, 5, 6}
{4, 5, 6}
(total: 15)