SOLUTION: Suppose B is a proper subset of C. a. If n(C) = 8, what is the maximum number of elements in B? b. What is the least possible numbe rof elements in B?

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Question 165528This question is from textbook
: Suppose B is a proper subset of C.
a. If n(C) = 8, what is the maximum number of elements in B?
b. What is the least possible numbe rof elements in B? This question is from textbook

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since "B is a proper subset of C", this means that n%28B%29%3Cn%28C%29 (ie the number of elements in set B are less than the number of elements in set C)

a)

Since n%28B%29%3Cn%28C%29 and n%28C%29=8, this means that n%28B%29%3C8. So the max number of elements in set B is 7 (since 7 is the next whole number down from 8)

b)

Since it is possible to have NO elements in set B (ie set B is the null set), this means that the least possible number of elements is zero.