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
Choose the correct choice from the following choices:
A) 5/56  B) 9/56  C) 15/56  D) 35/120  E) 25/56
Number of ways of selecting 4 people out of 9 people = 9C4   In 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   Number of ways to form a 4 member team that includes George and excludes Nina = 7C3   Probability = 7C3/9C4 = 35/120   Answer: 35/120
<result>D</result>
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