Question 86570:  Can someone help me please explain it to me towards these problems. If you can and have a few minutes thanks...for your help
 
PROBLEM #32 
Is it possible for two nonempty sets to have the same intersection and union? If so, 
give an example.
 
pROBLEM #64
 
Electoral College U.S. presidential elections are decided 
by the Electoral College, in which each of the 50 states, 
plus the District of Columbia, gives all of its votes to a candidate.† 
Ignoring the number of votes each state has in the 
Electoral College, but including all possible combinations 
of states that could be won by either candidate, how many 
outcomes are possible in the Electoral College if there are 
two candidates? (Hint: The states that can be won by a candidate 
form a subset of all the states.) 
 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! PROBLEM #32 
Is it possible for two nonempty sets to have the same intersection and union? If so, 
give an example. 
If the sets are equal they will have the same intersection and union. 
Example: A={1,2,3} and B={1,2,3} 
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pROBLEM #64
 
Electoral College U.S. presidential elections are decided 
by the Electoral College, in which each of the 50 states, 
plus the District of Columbia, gives all of its votes to a candidate.† 
Ignoring the number of votes each state has in the 
Electoral College, but including all possible combinations 
of states that could be won by either candidate, how many 
outcomes are possible in the Electoral College if there are 
two candidates? (Hint: The states that can be won by a candidate 
form a subset of all the states.) 
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There are 2^50 subsets ranging from the set with all the states 
to the set with no states. Corresponding to each of these subsets 
won by one of the candidates the other candidate wins the complementary 
subset. 
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Cheers, 
Stan H. 
 
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