Youre at the library to do research for your statistics project. You need 4 sources. There are 7 finite mathematics sources and 9 statistics sources to choose from. Order doesnt matter.

(a) How many ways can 4 sources be randomly selected out of the 16 sources? Show work.

(b) How many ways can 4 sources be chosen, if 2 must be finite math and 2 must be statistics? Show work.

(c) Using your answers to parts (a) and (b), if 4 sources are randomly selected from the 16 sources, what is the probability that 2 are finite math and 2 are statistics? Round answer to nearest ten-thousandth (4 places after decimal). Show work.