Posted by sabrina on Saturday, August 8, 2009 at 11:37am.
Suppose B is proper subset of C.
If n(c)=8, what is the maximum number of elements n B?
What is the least possible number of elements B?

elmentary math for educators  MathMate, Saturday, August 8, 2009 at 11:50am
If B is a proper subset of C, we have
B ⊊ C
This means that B is a any subset of B which is not equal to C. So the maximum number of elements of B is the cardinality of C minus one.
Thus the maximum number of elements of B is 81 = 7.
Since the empty set ∅ is a member of every set, the least number of elements of B is 0.
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