Question: Because of his good work, Jim Philips gets a contract to build homes on three additional blocks in the subdivision, with six homes on each block. He decides to build nine deluxe homes on these blocks: two on the first block, three on the second and four on the third. The remaining nine homes will be standard, not deluxe.
Altogether on the three-block stretch, how many different choices does Jim have for positioning the eighteen homes?
How many choices would be have if he built 2, 3, and 4 deluxe models on the three different blocks as before, but not necessarily on the first, second and third blocks in that order?