SOLUTION: How many subsets of {3, 7, 11, 12} have 11 as a member? (Calculate this without listing the subsets.)

Algebra ->  Subset -> SOLUTION: How many subsets of {3, 7, 11, 12} have 11 as a member? (Calculate this without listing the subsets.)       Log On


   



Question 1043930: How many subsets of {3, 7, 11, 12} have 11 as a member? (Calculate
this without listing the subsets.)

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
How many subsets of {3, 7, 11, 12} have 11 as a member? (Calculate
this without listing the subsets.)
~~~~~~~~~~~~~~~~~~~~~~~~`

It is the same as to ask  

    How many subsets are in the set {3, 7, 12}?


The answer is 2%5E3 = 8.


The number of subset of the finite set containing N elements is 2%5EN
(including the set itself as a subset and the empty subset).


See the lesson How many subsets are there in a given finite set of n elements? in this site.