A certain team consists of 3 professors and 6 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.)  Pick:	A) 48	B) 52	C) 56	D) 60	E) 64
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 6C3 = 20   The total number of ways to form a valid group is   84 - 20= 
<gadget id="calculator">  84 - 20</gadget>
<output>64</output>
64.   The answer is 64.
<result>E</result>
A certain team consists of 3 professors and 6 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.)