A certain team consists of 4 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)  Choose the correct answer.
A) 74	B) 85	C) 96	D) 107	E) 118
The total number of ways to form a group of 3 from 9 people is 9C3 = 84   The number of ways to form a group without a professor is 5C3 = 10   The total number of ways to form a valid group is   84 - 10= 
<gadget id="calculator">  84 - 10</gadget>
<output>74</output>
74.   The answer is 74.
<result>A</result>
A certain team consists of 4 professors and 5 teaching assistants. How many different teams of 3 can be formed in which at least one member of the group is a professor? (Two groups are considered different if at least one group member is different.)