A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee? Choose the correct choice: A) A)70 B) B)696 C) C)630 D) D)1,260 E) E)1,980
Total number of ways to select at least one professor = Number of ways to select 3 people from 10 students and 8 professors - Number of ways to select 3 people from 10 student (i.e. without including any professor)   = 18C3 - 10C3 = 816 - 120= 
<gadget id="calculator">816 - 120</gadget>
<output>696</output>
696   ANSWER:696
<result>B</result>
A three-person committee must be chosen from a group of 8 professors and 10 graduate students. If at least one of the people on the committee must be a professor, how many different groups of people could be chosen for the committee?