Hello, I am having difficulty with the second half of the is problem:
In a parking lot containing 85 cars, there are 45 cars with auto transmission, 43 with rear wheel drive, and 46 cars with 4 cylinder engines. Of the cars with auto transmissions, 26 also have rear wheel drive. Of the cars with rear wheel drive, 29 also have 4 cyclinder engines. Of the cars with 4 cylinder engines, 27 also have automatic trnasmissions. There are 21 cars with all three features.
a) How many cars don't have auto trnasmissions & rear wheel drive but do have 4 cylinder englines.
b) How many cars do not have any of the three features.
For part a I did 46- (27+29-21) and got 11.
For part b I think I have to subtract the complement of the union of all three subsets but I don't know how to find the union of all three. I would appreciate any help. Thanks.
In a parking lot containing 85 cars, there are 45 cars with auto transmission, 43 with rear wheel drive, and 46 cars with 4 cylinder engines. Of the cars with auto transmissions, 26 also have rear wheel drive. Of the cars with rear wheel drive, 29 also have 4 cyclinder engines. Of the cars with 4 cylinder engines, 27 also have automatic trnasmissions. There are 21 cars with all three features.
a) How many cars don't have auto trnasmissions & rear wheel drive but do have 4 cylinder englines.
b) How many cars do not have any of the three features.
For part a I did 46- (27+29-21) and got 11.
For part b I think I have to subtract the complement of the union of all three subsets but I don't know how to find the union of all three. I would appreciate any help. Thanks.
