Alex (the contractor) is to build eight homes on a block in a new subdivision, using two different models: standard and deluxe. (All standard homes are the same, and all deluxe models are the
same.)
(a) How many different choices does Alex have in positioning the eight houses if he decides to build three standard and five deluxe models?
(b) If Alex builds two deluxes and six standards, how many different positionings can he use?