A car dealership has 577 new cars on its lot. 106 of the cars are red, 487 have an automatic transmission, 30 have a sunroof, 88 are red and have an automatic transmission, 13 are red and have a sun roof, 23 have an automatic transmission and a sun roof, and 10 are red, have an automatic transmission, and have a sun roof.
a) How many cars are red and have a sun roof, but do not have an automatic transmission?
b) How many cars are not red, do not have an automatic transmission, and do not have a sun roof?