Currently doing a short maths course to aid and help in 3d modeling and animation,just wondering if anyone could help in set theory?
The questions were as follows and my answers too.
Given the following sets: r =the set of registration numbers of all vehi-
cles (i.e. Consider r as the type or Universe for this problem), c =the set of
car registration numbers, m =the set of motorcycle registration numbers,
and V =the set of registration numbers of old Vehicles
Describe the following in words e.g. m (intersection) V = the set of all old motorcylces.
The set of old vehicles and all registration numbers
(ii) (V (intersection) (cnr))(symmetric difference) c;
The set of car registration numbers
Write down the following sets using set notation
(iii) the set of new vehicles that aren't a motorcycle;(iv) the set of all vehicles that are a car or are an old motorcycle
Considering any 4 subsets of a universe, U, work out (and show your
(v) how many different regions there could be.
8 different regions
(vi) how many dffierent ways of combining these regions using boolean combinations are there?
256 of combining these
(vii) Decide and state whether any subset of a countable set is itself
countable. Explain your answer in your own words.
Thats it guys, sorry to drag it out also Rather then using set notation I have used words in brackets cause everytime I tried to copy and paste it came out with something completly different. Thnaks in advance