From a Group of 9 People, Including George and Nina, 4 people are to be selected at random to work on a certain project. What is the probability that 4 people selected will include George but not Nina\nOptions:\n(A) 5/56\n(B) 9/56\n(C) 15/56\n(D) 35/120\n(E) 25/56 Stream of consciousness first, then make a decision:
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Number of ways of selecting 4 people out of 9 people = 9C4\nIn the three members George will always be there in the team. At this step we have vacancy for 3 more members and 8 members are available. Nina cannot be there in the team. So 3 members have to be selected and the number of available members = 8 - Nina = 7\nNumber of ways to form a 4 member team that includes George and excludes Nina = 7C3\nProbability = 7C3/9C4 = 35/120
Thus, the answer is (D).
Assistant