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