SOLUTION: what is the answer if the given is D={X,Y,Z} list the proper subsets
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Question 465470: what is the answer if the given is D={X,Y,Z} list the proper subsets
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The proper subsets of a set are all subsets, including the null set, except the one subset that is identical to the given set.
You need the number of ways to select 0 things from 3 things, plus
The number of ways to select 1 thing from 3 things, plus
The number of ways to select 2 things from 3 things, but exclude
The number of ways to select 3 things from 3 things.
\ +\ \left(3\cr 1\right\)\ +\ \left(3\cr 2\right\))
Where  )
is the number of combinations of 
things taken 
at a time and is calculated by !})
Hint: Look at the 4th row of Pascal's triangle, and exclude the last element.
Now that you know the total number of proper subsets, you can determine if you have listed all of them and you can determine if you have made any duplications.
John
My calculator said it, I believe it, that settles it
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