Alkaptonuria is a genetic disease that results in the lack of an enzyme necessary to break downhomogentisic acid. Some people are carriers of alkaptonuria, which means that they do not have the disease themselves, but they can potentially transmit it to their offspring, According to the laws of genetic inheritance, an offspring both of whose parents are carriers of alkaptonuria has probability 0.25 of being unaffected, 0.5 of being a carrier, and 0.25 of having the disease. In a sample of 10 offspring of carriers of alkaptonuria, what is the probability that 3 are unaffected, 5 are carriers, and 2 have the disease