Thursday

April 2, 2015

April 2, 2015

Posted by **sabrina** on Saturday, August 8, 2009 at 11:37am.

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 11:50amIf 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 8-1 = 7.

Since the empty set ∅ is a member of every set, the least number of elements of B is 0.

**Answer this Question**

**Related Questions**

Math(Subsets) - Part 1 I have to use symbols in my anwser Suppose B is proper ...

Math - If there are 6 elements in ( A u B ) and 1 element in ( A n B ) answer ...

math - If there are 6 elements in (A U B) and 1 Element in (A N B) answer the ...

mathematics - Let A be a subset of T={1,2,…,100} subject to the condition that ...

geometry!!!! - Let A be a subset of T={1,2,…,100} subject to the condition that ...

geometry!!!! - Let A be a subset of T={1,2,…,100} subject to the condition that ...

math - 2-2A #2 Rewrite the following using mathematical symbols: a. P is equal ...

algebra - Rewrite the following using mathematical symbols: a) P is equal to the...

math - For the set X={m,n.p,q,r,s}, let R be the relation on P(X) (power set) ...

math - give an example of a set which has just two elements; one element; no ...