You buy a carton of 12 eggs, but you drop the carton, breaking 3 eggs. You put them back inthe carton. Your roommate plans to make eggs and chooses 5 eggs randomly from the carton.
(a) How many ways are there to grab any 5 eggs out of the 12?
(b) How many ways are there to grab exactly 1 broken egg and 4 whole eggs?
(c) What is the probability of grabbing exactly 1 broken egg and 4 whole eggs?