A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 10 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?	Options
A) 72 B) 110 C) 220 D) 495 E) 1096
student government + the student advisory board consists of  10 + 8= 
<gadget id="calculator"> 10 + 8</gadget>
<output>18</output>
18 members.   6 students hold membership in both, so they were counted twice.   The total number of people to choose from is 18 - 6= 
<gadget id="calculator">18 - 6</gadget>
<output>12</output>
12   The number of ways to choose 8 members from 12 is 12C8= 495   The answer is 495.
<result>D</result>
A university needs to select an eight-member committee on extracurricular life, whose members must belong either to the student government or to the student advisory board. If the student government consists of 10 members, the student advisory board consists of 8 members, and 6 students hold membership in both organizations, how many different committee are possible?